Symmetric products and subgroup lattices

Hausmann, Markus

doi:10.2140/gt.2018.22.1547

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Symmetric products and subgroup lattices

Markus Hausmann

Geometry & Topology 22 (2018) 1547–1591

DOI: 10.2140/gt.2018.22.1547

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

References

Publication

Received: 27 July 2016

Revised: 4 June 2017

Accepted: 14 July 2017

Published: 16 March 2018

Proposed: Haynes R Miller

Seconded: Jesper Grodal, Peter Teichner

Authors

Markus Hausmann
Department of Mathematical Sciences University of Copenhagen København Denmark

Volume 22, issue 3 (2018)