Some split exact sequences in the cohomology of groups

Rafael Villarroel-Flores, Peter Webb

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We analyze the split exact sequences of (co)homology groups associated to the spaces of Dwyer which give rise to the centralizer decomposition and subgroup decomposition of the classifying space BG of a finite group. In the first instance these sequences have infinite length. We show that they give rise to finite sequences which are also split and exact. The sequences arise as the first page of a spectral sequence.

Original languageEnglish (US)
Pages (from-to)483-494
Number of pages12
JournalTopology
Volume41
Issue number3
DOIs
StatePublished - 2002

Keywords

  • Elementary abelian subgroup
  • Group cohomology
  • Homology decomposition
  • Isotropy
  • P-radical subgroup

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