L'Institut Henri Poincaré, Paris, France
Local Group Theory: from Frobenius to Rickard
Abstract: In their celebrated theorem, Feit and Thompson (1963) proved that the order of a nonabelian simple finite group is necessarily even: the prime 2 and the 2-subgroups of a simple group play a key role for the structure of the group. More generally, for G a finite group whose order is divisible by a prime number p, how much the collection of p-subgroups of G influences the structure of G has been a key question for group theorists. We shall address some old and recent results along those lines, from Frobenius (1905) to Glauberman (1967), before showing how modern tools of representation theory allow us to understand more about the influence of p-subgroups.
This History Lecture is one of the featured events of the
International Conference on
Group Representations and Combinatorics
which is taking place during September 10-14, 2007.
See the website:
Last update made Thu Sep 6 12:24:41 EDT 2007.