Pure Mathematics Seminar: Markus Linckelmann
Markus Linckelmann, City University, London
Wednesday 04 December 2013, 1500-1600
A54, Postgraduate Statistics Centre Lecture Theatre
Quotients of finite group algebras over p-local rings
It is easy to see that over a p-adic ring a finite group algebra has only finitely many quotient algebras which are free over the base ring. We investigate connections between the finite group structure and the algebra structure of these quotients. In particular, we consider the question which of these quotients are symmetric algebras, and show that this property has some arithmetic implications for decomposition numbers. This is based on work with Radha Kessar and Shigeo Koshitani.