English

Symmetric products and subgroup lattices

Algebraic Topology 2018-05-07 v2

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.

Keywords

Cite

@article{arxiv.1607.07559,
  title  = {Symmetric products and subgroup lattices},
  author = {Markus Hausmann},
  journal= {arXiv preprint arXiv:1607.07559},
  year   = {2018}
}

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final published version