Helmut Bender (mathematician)

Helmut Bender 1974

Helmut Bender (born August 21, 1942 in Werheim ) is a German mathematician who deals with group theory ( finite groups ) and was a professor at the Christian Albrechts University in Kiel .

From 1962 Bender studied mathematics at the Johann Wolfgang Goethe University in Frankfurt am Main with a diploma in 1966 and a doctorate under Reinhold Baer in 1967 (at last two transitive permutation groups whose involutions have no fixed points ). 1967/68 he was an assistant professor at the University of Illinois at Urbana-Champaign . He then went to the Johannes Gutenberg University in Mainz , where he completed his habilitation in 1969 and was then a private lecturer and, in 1971, an adjunct professor. In 1970/71 he was also an Associate Professor at the University of Illinois at Chicago . In 1972 he became a professor in Kiel with a full professorship from 1978.

He is known for simplifying Feit and Thompson's theorem (Odd Order Theorem), the John H. Walter theorem on the classification of simple groups with Sylow-2 Abelian subgroups, and the Daniel Gorenstein and John H. Walter theorem on simple groups with dihedral groups as Sylow-2 subgroups from 1964 (published by Bender 1981).

Fonts

with George Glauberman (with assistance from Walter Carlip): Local analysis of the odd order theorem, London Mathematical Society Lecture Note Series 188, Cambridge University Press 2004
On the uniqueness theorem, Illinois Journal of Mathematics, Volume 14, 1970, pp. 376-384
On groups with abelian Sylow 2-subgroups, Mathematische Zeitschrift, Volume 117, 1970, pp. 164-176
The natural foundations of math. In the spirit of Dedekind, Zermelos and Wittenberg, Berlin: Logos Verlag 2015
Finite groups with dihedral Sylow 2-subgroups, J. Algebra, Volume 70, 1981, pp. 216-228
with George Glauberman: Characters of finite groups with dihedral Sylow 2-subgroups, J. Algebra, Volume 76, 1981, pp. 200-215

↑ Date of birth and curriculum vitae according to Michael Toeppell (ed.): General directory of members of the German Mathematicians Association 1890–1990. Munich 1991
↑ Helmut Bender in the Mathematics Genealogy Project (English)