Cornell Math - MATH 735, Fall 2004

MATH 735: Topics in Algebra—Modular Representation Theory of Finite Groups (Fall 2004)

Instructor: Gerhard Michler

Meeting Time & Room

This course will give a thorough introduction into R. Brauer's theory of blocks of finite groups. His first, second and third main theorems will be proved by ringtheoretical methods. Green's correspondence theorem will be treated. It will find applications in the theory of blocks with cyclic defect groups due to R. Brauer and E.C. Dade.

These results will be applied to prove Brauer's group order formular, the Brauer-Suzuki Theorem, Glauberman's Z*-Theorem, and a new structure theorem about general finite simple groups.

There will be lecture notes for the participants.