Hans Zassenhaus' List of Publications
- Zum Satz von Jordan-Hölder-Schreier, Abh. Math. Sem. Univ. Hamburg 10 (1934), 106-108.
- Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen (Dissertation 28.7.34), Abh. Math. Sem. Univ. Hamburg 11 (1934), 17-40 (Gesamtband 1936).
- Über transitive Erweiterungen gewisser Gruppen aus Automorphismen endlicher mehrdimensionaler Geometrien, Math. Ann. 111 (1935), 748-759.
- Über endliche Fastkörper, Abh. Math. Sem. Univ. Hamburg 11 (1935), 187-220 (Gesamtband 1936).
- Lehrbuch der Gruppentheorie. Band 1, Hamburger Mathematische Einzelsehriften, Heft 21, Teubner-Verlag, 1937.
- Neuer Beweis der Endlichkeit der Klassenzahl bei unimodular Äquivalenz endlich ganzzahliger Substitutionsgruppen, Abh. Math. Sem. Univ. Hamburg 12 (1938), 276-288.
- Beweis eines Satzes über diskrete Gruppen, Abh. Math. Sem. Univ. Hamburg 12 (1938), 289-312.
- Zum Gedenken an Hans Fitting, Jahresber. Deutsch. Math.- Verein. 49, Abt. 1(1939), 93-96.
- Über Liesche Ringe mit Primzahlcharakteristik, Abh. Math. Sem. Univ. Hamburg 13 (1939), 1-100.
- Ein Verfahren, jeder endlichen p-Gruppe einen Lie-Ring mit der Charakteristik p zuzuordnen, Abh. Math. Sem. Univ. Hamburg 13 (1939), 200207.
- Darstellungstheorie nilpotenter Lie-Ringe bei Charakteristik p >0, J. Reine Angew. Math. 182 (1940), 150-155.
- Tabelle der Absolutglieder der Eisensteinreihen $E_2(\tau)$ für die ersten Primzahlen und Dimensionen, Abh. Math. Sem. Univ. Hamburg 14 (1941), 285-288.
- Methoden und Probleme der modernen Algebra, Antrittsvorlesung, Selbstverlag der Universität Hamburg, 1946.
- Über einen Algorithmus zur Bestimmung der Raumgruppen, Comment. Math. Helv. 21 (1948), 117-141.
- Gruppentheorie, in Fiat Review of German Science, 1939-1946, Pure Mathematics I, 59-80, 1948, also appeared in Naturforschung und Medizin in Deutschland 1939-1946, Band 1, Reine Mathematik (W. Süss, Ed.), 59-80, Dieterich'sche Verlagsbuchhandlung, Wiesbaden, 1948.
- Über die Existenz von Primzahlen in arithmetischen Progressionen, Comment. Math. Helv. 22 (1949), 232-259.
- The Theory of Groups, 1st ed., Chelsea, New York, 1949.
- An equation for the degrees of the absolutely irreducible representations of a group of finite order, Canad. J. Math. 2 (1950), 166-167.
- Über die Darstellungen der Lie-Algebren bei Charakteristik 0, Comment. Math. Helv. 26 (1952), 252-274.
- A group-theoretic proof of a theorem of Maclagan-Wedderburn (Mult.-Gruppe e. endl. Schiefkörpers ist abelsch), Proc. Glasgow Math. Assoc. 1 (1952), 53-63.
- The quadratic law of reciprocity and the theory of Galois fields, Proc. Glasgow Math. Assoc. 1(1952), 64-71.
- Trace functions on algebras with prime characteristic, Amer. Math. Monthly 60 (1953), 685-692.
- What is an angle? Amer. Math. Monthly 61 (1954), 369-378.
- The representations of Lie algebras of prime characteristic, Proc. Glasgow Math. Assoc. 2 (1954), 1-36.
- Über eine Verallgemeinerung des Henselschen Lemmas, Arch. Math. 5 (1954), 317-325.
- On a Wedderburn-Artin structure theory of a potent semiring, Proc. Not. Acad. Sci. U.S.A. 43 (1957), 613-615. With S. Bourne.
- A theorem of Friedrichs, Trans. Roy. Soc. Canada (3) 3, Ser. 51 (1957), 55-64.
- On the semiradical of a semiring, Proc. Not. Acad. Sci. U.S.A. 44 (1958), 907-914. With S. Bourne.
- The Theory of Groups. 2nd ed., Chelsea, New York, 1958.
- Zero curvature tensor in Einstein's unified field theory, Phys. Rev. (2) Ser. 110 (1958), 228-236. With Max Wyman.
- On a normal form of the orthogonal transformation, I-III, Canad. Math. Bull. 1 (1958), 31-39,101-111, 183-191.
- Invariant bilinear forms on Lie algebras (Abstract), Short Communications. International Congress of Mathematics, Edinburgh, 1958, p. 25.
- On the similarity transformation between a matrix and its transpose, Pacific J. Math. 9 (1959), 893-896. With Olga Taussky.
- On an application of the theory of Lie algebras to group theory, Proc. Sympos. Pure Math. 1 (1959), 105-108.
- On trace bilinear forms on Lie-Algebras, Proc. Glasgow Math. Assoc. 4 (1959), 62-72.
- A remark on a paper of O. Taussky. J. Math. Mech. 10 (1961), 179-180.
- Modern developments in the geometry of numbers, Bull Amer. Math. Soc. 67 (1961), 427-439.
- On the scmigroup of ideal classes in an order of an algebraic number field, BulL Amer. Math. Soc. 67 (1961), 305-308. With E. C. Dade and O. Taussky.
- Equivalence of representations under extensions of local ground rings. Illinois J. Math. 5 (1961), 409-411. With I. Reiner.
- On the spinor norm, Arch. Math. 13 (1962), 434-451.
- On the theory of orders, in particular on the semigroup of ideal classes and genera of an order in an algebraic number field, Math. Ann. 148 (1962 ) 31-64. With E. C. Dade and O. Taussky.
- Problem 5008, Amer. Math. Monthly 69 (1962), 171.
- How programming difficulties can lead to theoretical advances, Proc. Sympos. Appl. Math. 15 (1963), 87-94.
- The concept of depth in teacher training, Amer. Math. Monthly 70 (1963), 85-88.
- Emil Artin, his life and his work, Notre Dame J. Formal Logic 5 (1964), 1-9.
- On coverings with convex domains, Acta Arith. 9 (1964), 191-207. With R. P. Bambah and C. A. Rogers.
- The Lie algebras with a nondegenerate trace form. Illinois J. Math. 8 (1964), 543-549.
- Book review on Generators and Relations for Discrete Groups, 2nd. ed., by H. S. M. Coxeter and W. Moser, SIAM Rev. 7 (1965), 588.
- On the Hensel lemma for Lie-algebras, Math. Z. 86 (1965), 396-409.
- Three proofs of Minkowski's second inequality in the geometry of numbers, J. Austral. Math. Soc. 5 (1965), 453-462. With R. P. Bambah and A. Woods.
- Über das Kriterium von Cartan-Killing, Math. Z. 90 (1965), 202-204. With K. Hoechsmann.
- A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-85. With A. Schinzel.
- Experimentelle Mathematik in Forschung und Unterricht, Math. Phys. Semesterber. n.F. 13 (1966), 135-152.
- Herleitung von Acht- und Sechzehn-Quadrate-Identitäten mit Hilfe von Eigenschaften der verallgemeinerten Quaternionen und der Cayley-Dicksonschen Zahlen, Arch. Math. 17 (1966), 492-496. With W. Eichhorn.
- Finite automorphism groups of torsion-free groups J. London Math. Soc. 41 (1966), 545-549. With K. A. Hirsch.
- An extension of the theorem of Bauer and polynomials of certain special types, Acta Arith. 11 (1966), 345-352. With D. J. Lewis and A. Schinzel.
- Ein Algorithmus zur Berechnung einer Minimalbasis über gegebener Ordnung, Funktionalanalysis, Approximationstheorie, Numerische Mathematik (Oberwolfach, 1965) 1967, 90-103.
- On the fundamental theorem of algebra, Amer. Math. Monthly 74 (1967), 485-497.
- Orders as endomorphism rings of modules of the same rank, J. London Math. Soc. 42 (1967), 180-182.
- The group of an equation Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1967), 147-166.
- Über die Äquivalenz ganzzahliger Darstellungen, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1967), 167-193.
- Vorlesungen über Darstellungstheorie. II Teil: Darstellungstheorie Liescher Algebren. Mathematisches Institut der Universität Göttingen, 1967.
- Zahlentheoretische Experimente im Unterricht, Funktionalanalysis, Approximationstheorie, Numerische Mathematik (Oberwolfach, 1965) 1967, 90-103.
- On the theorem on the primitive element, Amer. Math. Monthly 74 (1967), 407-410. With J. Sohn.
- Über die Fundamentalkonstruktionen der endlichen Körpertheorie, Jahresber. Deutsch. Math.-Verein 70 (1968), 177-181.
- What makes a loop a group? Amer. Math. Monthly 75 (1968), 139-142.
- Some conjectures concerning finite fields, Norske Vid. Selsk. Forhdl. 41 (1968), 34-35. With S. Chowla.
- A cohomological characterization of finite nilpotent groups, Arch. Math. 19 (1968), 225-244. With K. Hoechsmann and P. Roquette.
- Book review on Foundations of Euclidean and Non-Euclidean Geometry by Ellery B. Golos, Amer. Math. Monthly 75 (1968).
- A class rank estimate for algebraic number fields, J. London Math. Soc. 44 (1969), 31-38. With P. Roquette.
- A condition for the compatibility of submodules of a module, J. Number Theory 1 (1969), 467-476.
- A presentation of the groups ${\rm PSL}(2,\,p)$ with three defining relations, Canad. J. Math. 21 (1969), 310-311.
- Characterization of unipotent matrices, J. Number Theory 1 (1969), 222-230.
- On a packing inequality for plane sectorial norm distances, Punjab Univ. J. Math. 2 (1969), 1-9.
- On a theorem of Kronecker, Delta 1 (1969), 1-14.
- On Hensel factorization. I, J. Number Theory 1 (1969), 291-311.
- On linear noetherian groups, J. Number Theory 1 (1969), 70-89.
- On integral representations of an order, Theory of Finite Groups, Symposium, Harvard University, 1968 (C-H. Sah and R. Bauer, Eds.), 1969, 191-193.
- On a problem of Hasse, Math. Comp. 23 (1969), 515-519. With J. Liang.
- The automorphisms of the linear congruence groups over Dedekind domains, J. Number Theory 1 (1969), 211-221. With O. T. O'Meara.
- A real root calculus, Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967), pp. 383-392. Pergamon, Oxford, 1970.
- On a problem of H.-G. Steiner, J. Number Theory 2 (1970), 322-328.
- On the 1-cohomology of the general and special linear groups, Aequationes Math. 5 (1970), 129-201. With O. Taussky.
- On the group of an equation, Computers in Algebra and Number Theory (Proc. SIAM-AMS Sympos. Appl. Math., New York, 1970), 1971, pp. 69-88.
- The Frattini subgroups of linear noetherian groups, J. Number Theory 3 (1971), 111-114. With Surinder K. Sehgal.
- Some empirical observations on primitive roots, J. Number Theory 3 (1971), 306-309. With H. Brown.
- Genetic development of the congruence axioms, Educ. Stud. Math. 4 (1971), 150-152.
- On equivalence of finite group extensions, Math. Z. 123 (1971), 191-200. With C. E. Johnson.
- On the second round of the maximal order program, Applications of number theory to numerical analysis (Proc. Sympos., Univ. Montréal, Montreal, Que., 1971), pp. 389-431. Academic Press, New York, 1972.
- On L-groups, Math. Ann. 198 (1972), 1-12. With D. B. Wales.
- On L-semi-groups, Math. Ann. 198 (1972), 13-22.
- On the units of orders, J. Algebra 20 (1972) 368-395.
- On integral groups. I. The reducible case. Numer. Math. 19 (1972), 386-399. With H. Brown and J. Neubüser.
- On integral groups. II. The irreducible case. Numer. Math. 20 (1972), 22-31. With H. Brown and J. Neubüser.
- On the tightest packings in the Minkowski plane. Pacific J. Math. 41 (1972), 699-715. With R. L. Graham and H. S. Witsenhausen.
- Über die Ordnungen von Wohlfahrt, Arch. Math. 23 (1972), 469-481. With I. Heinrich.
- The discriminant of an algebraic number field, Proceedings of the 1972 Number Theory Conference (Univ. Colorado, Boulder, Colo.), pp. 247-255. Univ. Colorado, Boulder, Colo., 1972.
- On integral groups. III. Normalizers, Math. Comp. 27 (1973), 167-182. With H. Brown and J. Neubüser.
- Hermann Minkowski: Briefe an David Hilbert. Mit Beiträgen und herausgegeben von L. Rüdenberg und H. Zassenhaus. Springer-Verlag, Berlin-New York, 1973. 165 pp. With L. Rüdenberg.
- Zur Vorgeschichte des Zahlberichts, pp. 17-21 in [ 99].
- Über Friedrich Althoff, pp. 22-26 in [99].
- On the embedding of an order into a maximal order. Proceedings of the Conference on Orders, Group Rings and Related Topics (Ohio State Univ., Columbus, Ohio, 1972), pp. 204-221. Lecture Notes in Math., Vol. 353, Springer, Berlin, 1973.
- Reduction theory in algebraic number fields, Bull. Amer. Math. Soc. 80 (1974), 955-956.
- The maximal solvable subgroups of the ${\rm SU}(p,\,q)$ groups and all subgroups of ${\rm SU}(2,\,1)$, J. Mathematical Phys. 15 (1974), 1378-1393. With J. Patera and P. Winternitz.
- The maximal solvable subgroups of ${\rm SO}(p,\,q)$ groups, J. Mathematical Phys. 15 (1974), 1932-1938. With J. Patera and P. Winternitz.
- On the classification of continuous subgroups of Lie groups, Group Theoretical Methods in Physics (Proc. Third Internat. Colloq., Centre Phys. Theor., Marseille, 1974), Vol. 2, pp. 501-510. Centre Nat. Recherche Sci., Centre Phys. Theor., Marseille, 1974. With J. Patera and P. Winternitz.
- On the torsion units of finite group rings, Studies in Mathematics (in Honor of A. Almeida Costa), pp. 119-126. Instituto de Alta Cultura, Lisbon, 1974.
- Certain characterizations of the semiradical of a semiring, Comm. Algebra 3 (1975), 525-530. With S. Bourne.
- Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group, J. Math. Phys. 16 (1975), 1597-1614. With J. Patera and P. Winternitz.
- Continuous subgroups of the fundamental groups of physics. II. The similitude group. J. Math. Phys. 16 (1975), 1615-1624. With J. Patera and P. Winternitz.
- On Hensel factorization. II. Symposia Mathematica, Vol. XV (Convegno di Strutture in Corpi Algebrici, INDAM, Rome, 1973), pp. 499-513. Academic Press, London, 1975.
- On the teaching of algebra at the pre-college level, pp. 447-464, Cremel, 1975.
- On the Minkowski-Hilbert dialogue on mathematization, Canad. Math. Bull. 18 (1975), 443-461.
- The automorphism group of a space group, Comm. Algebra 4 (1976), 305-317. With M. Delaney.
- Quantum numbers for particles in de Sitter space,J. Mathematical Phys. 17 (1976), 717-728. With J. Patera and P. Winternitz.
- Subgroups of the similitude group of three-dimensional Minkowski space, Canad. J. Phys. 54 (1976), 950-961. With J. Patera, R. T. Sharp and P. Winternitz.
- Subgroups of the Poincaré group and their invariants, J. Mathematical Phys. 17 (1976), 977-985. With J. Patera, R. T. Sharp and P. Winternitz.
- Gauss' theory of ternary quadratic forms, and example of the theory of homogeneous forms in many variables, with applications, Selected Topics on Ternary Forms and Norms (Sem. Number Theory, California Inst. Tech., Pasadena, Calif., 1974/75), Paper No. 3, 84 pp. California Inst. Tech., Pasadena, Calif., 1976. Also in Lecture Notes in Pure and Applied Mathematics, Vol. 79, pp. 75-135, Dekker, New York, 1982.
- On space-time groups, Group Theoretical Methods in Physics (Fourth Internat. Colloq., Nijmegen, 1975), pp. 404-419. Lecture Notes in Phys., Vol. 50, Springer, Berlin, 1976. With W. Plesken.
- Casimir operators of subalgebras of the Poincaré Lie algebra and of real Lie algebras of low dimension. Group Theoretical Methods in Physics (Fourth Internat. Colloq., Nijmegen, 1975), pp. 500-515.Lecture Notes in Phys., Vol. 50, Springer, Berlin, 1976. With J. Patera, R. T. Sharp and P. Winternitz.
- Invariants of real low dimension Lie algebras, J. Mathematical Phys. 17 (1976), 986-994. With J. Patera, R. T. Sharp and P. Winternitz.
- In memoriam Bohuslav Divis, J. Number Theory 9 (1977), v-vii. With W. Schwarz.
- Number Theory and Algebra. Collected Papers Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd. Academic Press, New York-London, 1977. x1vi+393 pp.
- Arnold E. Ross (biographical sketch), Number Theory and Algebra. Collected Papers Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd., pp. xxvi-xxxiii. Academic Press, New York-London, 1977.
- A theorem of cyclic algebras, Number Theory and Algebra. Collected Papers Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd., pp. 363-393. Academic Press, New York-London, 1977.
- On the invariants of a Lie group. I, Computers in nonassociative rings and algebras (Special Session, 82nd Annual Meeting Amer. Math. Soc., San Antonio, Tex., 1976), pp. 139-155. Academic Press, New York, 1977.
- Integral group rings with nilpotent unit groups, Comm. Algebra 5 (1977), 101-111. With Sudarshan K. Sehgal.
- Group rings without nontrivial idempotents, Arch. Math. 28 (1977), 378-380. With Sudarshan K. Sehgal.
- Group rings whose units form an FC-group, Math. Z. 153 (1977), 29-35. With Sudarshan K. Sehgal.
- Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups, J. Mathematical Phys. 18 (1977), 2259-2288. With J. Patera, R. T. Sharp and P. Winternitz.
- An effective number geometric method of computing the fundamental units of an algebraic number field, Math. Comp. 31 (1977), 754-770. With M. Pohst.
- The minimum discriminant of sixth degree totally complex algebraic number fields, J. Number Theory 9 (1977), 16-35. With J. Liang.
- A remark on the Hensel factorization method, Math. Comp. 32 (1978), 287-292.
- When is the unit group of a Dedekind order solvable? Comm. Algebra 6 (1978), 1621-1627.
- On the maximal Abelian subrings of the classical Lie algebras, Lie Theories and Their Applications (Proc. Ann. Sem. Canad. Math. Congr., Queen's Univ., Kingston, Ont., 1977), pp. 348-382. Queen's Papers in Pure and Appl. Math., 48, Queen's Univ., Kingston, Ont., 1978.
- On a problem of Harvey Friedman, Comm. Algebra 6 (1978), no. 16, 1629-1634.
- Equidistributed permutation groups, Comm. Algebra 6 (1978), 35-57. With A. S. Playtis and Surinder K. Sehgal.
- The maximal abelian subgroups of the conformal groups of space-time, Group Theoretical Methods in Physics (6th Internat. Colloq., Tübingen, 1977) (P. Kramer and A. Rieckers, Eds.). Lecture Notes in Phys., Vol. 79, Springer, Berlin, 1978. With J. Patera and P. Winternitz.
- Crystallographic Groups of Four-Dimensional Space. Wiley Monographs in Crystallography. Wiley, New York, 1978. xiv+443 pp. With H. Brown, R. Bülow, J. Neubüser, and H. Wondratschek.
- On the van der Waerden criterion for the group of an equation, Symbolic and Algebraic computation (EUROSAM '79, Internat. Sympos., Marseille, 1979), pp. 95-107. Lecture Notes in Comput. Sci., 72, Springer, Berlin-New York, 1979.
- On unit computation in real quadratic fields, Symbolic and Algebraic computation (EUROSAM '79, Internat. Sympos., Marseille, 1979), pp. 140-152. Lecture Notes in Comput. Sci., 72, Springer, Berlin-New York, 1979. With M. Pohst.
- On structural stability, Comm. Algebra 8 (1980), 1799-1844.
- Finite subgroups of the generalized Lorentz groups ${\rm O}(p,\,q)$, J. Math. Phys. 21 (1980), 234-239. With J. Patera and Y. Saint-Aubin.
- On the maximal abelian subgroups of the linear classical algebraic groups, C. R. Math. Rep.Acad. Sci. Canada 2 (1980), 231-236. With J. Patera and P. Winternitz.
- On the sphere packing problem, Proceedings of the Conference on Kristallographische Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part I. Match 9 (1980), 127-135.
- On the maximal abelian subgroups of the quadratic classical algebraic groups. C. R. Math. Rep. Acad. Sci. Canada 2 (1980), 237-242. With J. Patera and P. Winternitz.
- Dedication (second Chowla volume of Journal of Number Theory), J. Number Theory 12 (1980).
- Maximal abelian subalgebras of ${\rm sp}(2n, \Bbb R)$ and their applications in physics, Lecture Notes in Phys., Vol. 135, Springer, Berlin, 1978, 512-516. With J. Patera and P. Winternitz.
- Lie Algebras and Representation Theory. Séminaire de Mathématiques Supérieures, 75. Presses de l'Université de Montréal, Montreal, Que., 1981, 284 pp.
- On the supercentre of a group and its ring theoretic generalization, Integral representations and applications (Oberwolfach, 1980), pp. 117-144. Lecture Notes in Math. 882, Springer, Berlin-New York, 1981. With Sudarshan K. Sehgal.
- A new algorithm for factoring polynomials over finite fields, Math. Comp. 36 (1981), 587-592. With D. G. Cantor.
- Über die konstruktive Behandlung mathematischer Probleme, Vortrag, Rheinisch-Wetfällische Akademie der Wissenschaft, Natur-Ingenieur-Wirtshaftwissenschaften, 307 (1982), 7-44. Westdeutscher Verlag, Opladen.
- Rubik's cube: a toy, a Galois tool, group theory for everybody, Phys. A 114 (1982), 629-637.
- On effective computation of fundamental units. I, Math. Comp. 38 (1982), 275-291. With M. Pohst.
- On effective computation of fundamental units. II, Math. Comp. 38 (1982), 293-329. With M. Pohst and P. Weiler.
- Book review of Emmy Noether, 1882-1955 by August Dick, transl. H. I. Blocher, Birkhäuser Boston, Cambridge, MA, 1981. Bull. Amer. Math. Soc. 6 (1982), 224-230.
- Book review of Emmy Noether, A Tribute to Her Life and Work (James Brewer and Martha K. Smith, Eds.), Dekker, 1982. Bull. Amer. Math. Soc. 7 (1982), 618-622.
- On the Cartan subalgebra of a Lie algebra, Linear Algebra Appl. 52/53 (1983), 743-761.
- Über die Ordnungen von Wohlfahrt. II, Arch. Math. 40 (1983), 429-433. With I. Heinrich.
- Normal forms of elements of classical real and complex Lie and Jordan algebras, J. Math. Phys. 24 (1983), 1363-1374. With D. Z. Djokovic, J. Patera and P. Winternitz.
- Maximal abelian subalgebras of real and complex symplectic Lie algebras, J. Math. Phys. 24 (1983), 1973-1985. With J. Patera and P. Winternitz.
- The structure of maximal abelian subalgebras of classical Lie and Jordan algebras, Group Theoretical Methods in Physics (13th Internat. Colloq., College Park, 1984), 115-118.
- Isomorphism of integral group rings of abelian by nilpotent class two groups, Comm. Algebra 12 (1984), 2401-2407. With Sudarshan K. Sehgal and Surinder K. Sehgal.
- Some Birkhoff interpolation problems on the roots of unity, Linear Algebra Appl. 65 (1985), 1-23. With J. Fabrykowski and A. Sharma.
- Über verschränkte Produktordnungen, J. Number Theory 20 (1985) 282-298. With H. Benz.
- On Frobenius groups. I, Resultate Math. 8 (1985), 132-145.
- On polynomial factorization, Rocky Mountain J. Math. 15 (1985), 657-665.
- Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper, J. Reine Angew. Math. 361 (1985), 50-72. With M. Pohst.
- On Frobenius groups. II. Universal completion of nearfields of finite degree over a field of reference, Resultate Math. 11 (1987), 317-358.
- Local optimality of the critical lattice sphere-packing of regular tetrahedra, Discrete Math. 64 (1987), 129-146. With M. H. Daubenhauer.
- PASCAL programs for the identification of Lie algebras. II. SPLIT--a program to decompose parameter-free and parameter-dependent Lie algebras into direct sums, Comput. Phys. Comm. 46 (1987), 297-309. With D. W. Rand and P. Winternitz.
- The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type $A_{n-1}$, J. Math. Phys. 29 (1988), 665-673. With J. Patera.
- On the identification of a Lie algebra given by its structure constants. I. Direct decompositions, Levi decompositions, and nilradicals, Linear Algebra Appl. 109 (1988), 197-246. With D. W. Rand and P. Winternitz.
- Algorithmic Algebraic Number Theory. Revised reprint of the 1989 original Encyclopedia of Mathematics and its Applications, 30. Cambridge University Press, Cambridge, 1997. xiv+499 pp. With M. Pohst.
- On Lie gradings. I, Linear Algebra Appl. 112 (1989), 87-159. With J. Patera.
- A criterion for infinite non-Dickson nearfields of dimension two. Resultate Math. 15 (1989), 221-226. With T. Gründhofer.
- Maximal abelian subalgebras of ${\rm su}(p,q)$, , 17th International Colloquium on Group Theoretical Methods in Physics (Sainte-Adèle, PQ, 1988), 401-404. World Sci. Publishing, Teaneck, NJ, 1989. With M. A. del Olmo, M. A. RodrÃguez, and P. Winternitz.
- Maximal abelian subalgebras of ${\rm o}(n,{\bf C})$, 17th International Colloquium on Group Theoretical Methods in Physics (Sainte-Adèle, PQ, 1988), 413-416. World Sci. Publishing, Teaneck, NJ, 1989. With V. Hussin and P. Winternitz.
- The construction of solvable Lie algebras from equidimensional nilpotent algebras, Linear Algebra Appl. 133 (1990), 89-120. With J. Patera.
- Maximal abelian subalgebras of complex orthogonal Lie algebras, Linear Algebra Appl. 141 (1990), 183-220. With V. Hussin and P. Winternitz.
- Solvable Lie algebras of dimension $\leq 4$ over perfect fields, Linear Algebra Appl. 142 (1990), 1-17. With J. Patera.
- Maximal abelian subalgebras of pseudounitary Lie algebras, Linear Algebra Appl. 135 (1990), 79-151. With M. A. del Olmo, M. A. RodrÃguez, and P. Winternitz.
- Marshall Hall, Jr.: 1910-1990, Notices Amer. Math. Soc. 37 (1990), 1033.
- Nachruf: Theodor Schneider (1911-1988), J. Number Theory 39 (1991), 129-143. With P. Bundschuh.
- The higher rank Virasoro algebras, Comm. Math. Phys. 136 (1991), 1-14. With J. Patera.
- Maximal abelian subalgebras of pseudo-orthogonal Lie algebras, Linear Algebra Appl. 173 (1992), 125-163. With V. Hussin and P. Winternitz.
- Methoden und Probleme der modernen Algebra, Jahresber. Deutsch. Math.-Verein. 96 (1994), no. 1, 21-33.
- Deterministic analysis of aleatoric methods of polynomial factorization over finite fields, J. Number Theory 47 (1994), 20-42. With M. Rothstein.
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