Normal Subgroups of the Multiplicative Group of a Finite Dimensional Division Algebra, and Valuations

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH
Topic:Normal Subgroups of the Multiplicative Group of a Finite Dimensional Division Algebra, and Valuations
Speaker:Andrei S. Rapinchuk
Affiliation:IAS
Date:Tuesday, December 20
Time/Room:2:00pm - 3:15pm/S-101

I will discuss a proof of the fact that given a finite dimensional division algebra D over an arbitrary field, any finite quotient of the multiplicative group D^* is solvable (joint work with Y.Segev and G.Seitz). Time permitting, I will also talk about some recent results that enable one to give a short proof of the Margulis-Platonov conjecture for the groups SL_{1,D}.