Jonathan L. Alperin

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Jonathan L. Alperin (1981)

Jonathan Lazare Alperin , also Jon Alperin, (born June 2, 1937 in Boston , Massachusetts ) is an American mathematician who deals with group theory.

Life

Alperin studied at Harvard University ( Bachelor's degree in 1959) and Princeton University , with a Master's degree in 1960 and a doctorate in 1961 with Graham Higman ( On a Special Class of Regular p-Groups ). As a post-doctoral student he was at the University of Oxford in 1961/62 and as a Moore Instructor at the Massachusetts Institute of Technology in 1962/63 . In 1963 he became Assistant Professor , 1966 Associate Professor and 1970 Professor at the University of Chicago .

He is known for the Alperin-Brauer-Gorenstein theorem (with Richard Brauer , Daniel Gorenstein ), which classifies the simple finite groups with quasidihedral Sylow-2 subgroups . He is also known for the Alperin Weight Conjecture ( Alperin Weight Conjecture ).

He has been at the Institute for Advanced Study (1969, 1979, 1983) and visiting professor at the University of California, Berkeley (1981), Oxford (All Souls College 1981), the University of Georgia (Cantrell Lecturer 2002) and the University of Paris VII (1982). In 1990 he was at MSRI . In 1974/75 he was a Guggenheim Fellow . In 2012 he became a Fellow of the American Mathematical Society .

Fonts

  • Local Representation Theory , Cambridge University Press 1986
  • with Rowen B. Bell Groups and Representations , Graduate Texts in Mathematics, Springer Verlag 1995
  • Sylow intersections and fusion , Journal of Algebra, Volume 6, 1967, pp. 222-241
  • with M. Broue Local methods in Block Theory , Annals of Mathematics, Volume 110, 1979, pp. 143-157
  • with L. Evens Representations, resolutions and Quillen's dimension theorem , J. Pure Applied Algebra, Volume 22, 1981, pp. 1–9

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ↑ Semidiedergruppen as Sylow 2-subgroups
  4. ↑ Alperin, Brauer, Gorenstein Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups , Transactions American Mathematical Society, Volume 151, 1970, pp. 1-261
  5. ^ Alperin Weights for finite groups , The Arcata Conference on Representations of Finite Groups (Arcata 1986), Proc. Symp. Pure Math., Vol. 47, American Mathematical Society 1987, pp. 369-379
  6. ^ GR Robinson Alperin Conjecture , Encyclopedia of Mathematics
personal data
SURNAME Alperin, Jonathan L.
ALTERNATIVE NAMES Alperin, Jonathan Lazare (full name); Alperin, Jon
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 2, 1937
PLACE OF BIRTH Boston , Massachusetts