Symmetric products and subgroup lattices

Hausmann, Markus¹

¹ Department of Mathematical Sciences, University of Copenhagen, København, Denmark

Geometry & topology, Tome 22 (2018) no. 3, pp. 1547-1591.

Résumé

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 $G$.

Détail

DOI : 10.2140/gt.2018.22.1547

Classification : 55P42, 55P62, 55P91
Keywords: symmetric products of spheres, global equivariant homotopy theory, subgroup lattices

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