Classifying spaces of finite groups of tame representation type

Abstract

Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine the $p$-completed classifying spaces of these blocks and their loop spaces. We pay special attention to the $A_{\infty }$ algebra structures, and singularity and cosingularity categories.

143 pages