Hans Zassenhaus

Hans Julius Zassenhaus ( born May 28, 1912 in Koblenz, † November 21, 1991 in Columbus, Ohio ) was a German mathematician, famous for work on algebra and as a pioneer of computer algebra.

Life

Zassenhaus was Rhinelander from Koblenz, but in 1916 the family moved to Hamburg. His initial desire to become a physicist, he rejected and instead was a student of Emil Artin, Erich Hecke and in Hamburg, where in 1934 he wrote his doctoral thesis with the title labeling of finite linear groups as permutation groups. In it, he introduced a permutation that. " Zassenhaus groups ", which play an important role in the later classification of finite simple groups ( work by Suzuki and others) In the same year he published a new proof of the theorem of Jordan - Hölder in group theory ( with a lemma named after him ). Also, the group theoretical theorem of Schur - Zassenhaus is associated with his name. 1934 to 1936 he was at the University of Rostock, where he wrote his group theory textbook, such as van der Waerden in his lectures by Emil Artin algebra by. In 1936 he qualified as a Artins assistant in Hamburg with a thesis on Lieringe over fields of prime characteristic ( modular Lie algebras ). During the Second World War, he worked alongside his university work in the Navy for the weather forecast ( and not, as actually obvious in cryptography ) involved and was in the resistance.

In 1943 he was offered a professorship in Bonn, but he refused - he asked to postpone the decision " until after the war." 1948/49, he was in Glasgow, and then from 1949 to 1959, he was then a professor at McGill University in Montreal. He then worked for five years at the University of Notre Dame and moved 1964 to the Ohio State University, where he remained until his retirement.

He developed several algorithms in algebra and algebraic number theory ( computation of class groups, Galois groups, units, etc.). Was named after him Zassenhaus algorithm for the determination of average and total bases of two subspaces in linear algebra. He was a pioneer in the use of computers in the 1960s (partly in collaboration with Olga Taussky - Todd ).

He returned several times later to initially studied by him theoretical physics back, so in a series of works by Jiri Patera and Pavel Winternitz on the sub-group structure in physics, important Lie groups and in contributions to colloquia Group theoretical methods in physics. He also worked on algorithms for classification of crystallographic space groups (also here is a Zassenhaus algorithm named after him) and in the geometry of numbers. In mathematical- historical site he published the letters Hermann Minkowski to David Hilbert and also wrote about the mathematical contrast between the two, which he naturally saw himself rather as a consequence of Minkowski. Zassenhaus made ​​in various essays and thoughts on educational matters.

In 1962 he was invited speaker at the International Congress of Mathematicians in Stockholm ( The Lie algebras with a non degenerate trace form, with Richard E. Block).

He was the older brother of physician and author Hiltgunt Zassenhaus. Zassenhaus was married since 1942 and had three children.

His mathematical deduction will be kept by the Central Archive for Mathematical discounts at the University Library.

Writings

  • Textbook on group theory. Teubner, Leipzig 1937 (also Engl. Translation, first Chelsea Publishing, 1949)
  • Lie algebras and representation theory. Montreal in 1981
  • Michael Pohst: Algorithmic algebraic number theory. Cambridge 1997 ( first 1989)
  • Rubik's cube - a toy, a Galois tool, group theory for everybody. In: Physica A. Volume 114, 1982, p 629
  • About the constructive treatment of mathematical problems. Rhine-Westphalian Academy of Sciences 1982
  • On the Minkowski Hilbert dialogue on mathematization. In: Canadian Math Bull Volume 18, 1975, p 443
  • How programming difficulties can lead to theoretical advances. In: Proc. Symp Applied Mathematics. Volume 15, 1963, p 87
  • Experimental Mathematics in research and teaching. In: Math Physikal. Semester reports. Volume 13, 1965, p 135
  • Methods and problems of modern algebra. DMV Annual Report 1994, No.1
  • About the fundamental structures of finite field theory. In: Jb DMV 1968
  • About the existence of primes in arithmetic progressions. In: Comm.Math.Helvetici 1949
  • About an algorithm for determining the space groups. In: Comm.Math.Helvetici. 1948
  • Zassenhaus and Pohst: About the computation of class numbers and class groups of algebraic number fields. In: Journal of Pure and Applied Mathematics. 1985
  • On the fundamental theorem of algebra, American Mathematical Monthly, Volume 74, 1967, p 485 ( awarded the Lester Randolph Ford Award)
  • With Harold Brown, J. Neubüser, H. Wondratschek, R. Bülow Crystallographic groups of four dimensional space, Wiley 1978
Columbus (Ohio) Symbolic mathematics General linear group Michio Suzuki Schur–Zassenhaus theorem Rostock Matrikelportal Ernst Witt Integrated Authority File
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