Symmetric products and subgroup lattices

Abstract

Let G be a finite group. We show that the rational homotopy groups of symmetric products of the G-equivariant sphere spectrum are naturally isomorphic to the rational homology groups of certain subcomplexes of the subgroup lattice of G.

final published version

References in corpus (3)

• Global homotopy theory
• Equivariant properties of symmetric products
• A branching rule for partition complexes

Cited by in corpus (2)

• Representation stability and outer automorphism groups
• Rational extensions of the representation ring global functor and a splitting of global equivariant $K$-theory