Event Type:

Topology Seminar

Date/Time:

Monday, October 6, 2008 - 05:00

Location:

Gilkey 100

Local Speaker:

Abstract:

This talk focuses on a series of papers by James Howie and Hans Rudolf Schneebeli in the 1980s in which the authors studied the algebraic structure of ZG-modules that occur as kernels of boundary maps in projective ZG-resolutions of the trivial module Z. Topologically, these kernels occur as homotopy modules of the skeleta of Eilenberg-Maclane complexes of type K(G,1). Motivated by classical examples, the authors consider the situation when such modules contain a permutation module as a direct summand. It turns out that the isotropy subgroups of any such permutation summand must be finite and the authors prove a number of results relating the presence of such summands to the distribution of finite subgroups in G.