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Hochschild Cohomology of Tame Blocks

by Holm, Thorsten.

Series: 2002-08, Preprints

20C05 Group rings of finite groups and their modules
16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
16G60 Representation type (finite, tame, wild, etc.)

We study the additive structure of Hochschild cohomology
for blocks of modular group algebras of tame representation
type. We give explicit formulae for the dimensions of the
cohomology groups and compute the Poincare series of the
Hochschild cohomology ring for all
tame blocks having one or three simple modules.