"Group representation theory" - January to June 2005

J.-P. Serre (Paris) : On finite subgroups of Lie groups

May 25, 26, 27; 10h00-12h00; salle CM5

Description: Let G be a reductive group over a field k. We will try to determine the maximal order of a finite p-subgroup of G(k), as a function of p, of the type of G, and of the field k. In the case G = GL(n), this has been done by Schur, generalizing an earlier result of Minkowski relative to k = Q. We shall be mostly interested in the case of groups of exceptional type.