#### Volume 22, issue 3 (2018)

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Symmetric products and subgroup lattices

### Markus Hausmann

Geometry & Topology 22 (2018) 1547–1591
##### Abstract

Let $G$ be a finite group. We show that the rational equivariant 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 $G$.

##### Keywords
symmetric products of spheres, global equivariant homotopy theory, subgroup lattices
##### Mathematical Subject Classification 2010
Primary: 55P42, 55P62, 55P91