Amitsur Algebra: George Glauberman (Chicago)

Title: Fixed points of finite groups on modules
Abstract: Suppose G is a finite group, p is a prime, S is a Sylow p-subgroup of G, and V is a G-module over a field of characteristic p. In some situations, an easy calculation shows that the fixed points of G on V are the same as the fixed points of the normalizer
of S in G. Generalizations of this result have been obtained previously to study the structure of G for p odd. We plan to describe a new generalization for p = 2. (This is part of joint work with J. Lynd that removes the classification of finite simple groups
from the proof of the Martino-Priddy conjecture in topology.)


Thu, 08/12/2016 - 12:00 to 13:15


Manchester Building, Room 209