Equivariant CW-complexes and the orbit category

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Hambleton I., PAMUK S., YALÇIN E.

COMMENTARII MATHEMATICI HELVETICI, vol.88, no.2, pp.369-425, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 88 Issue: 2
  • Publication Date: 2013
  • Doi Number: 10.4171/cmh/289
  • Journal Name: COMMENTARII MATHEMATICI HELVETICI
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.369-425
  • Keywords: Finite group actions on spheres, orbit category, chain complexes, COHOMOLOGY, REPRESENTATIONS, INDUCTION
  • Middle East Technical University Affiliated: Yes

Abstract

We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G = S-5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups.