25th NRW Topology Meeting

Speaker: Markus Hausmann

Title: Symmetric products and subgroup lattices

Abstract:

Let G be a finite group. In this talk I will discuss a relationship between symmetric products of G-representation spheres and the subgroup lattice of G. More concretely, it turns out that the rational homotopy groups of the symmetric products of the G-sphere spectrum are naturally isomorphic to the rational homology groups of certain subcomplexes of the subgroup lattice, which in many cases allows an explicit computation of the former.