Loop space homology associated with the mod 2 Dickson invariants

Ran Levi, Nora Seeliger

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Abstract

The spaces and have the property that their mod 2 cohomology is given by the rank 3 and 4 Dickson invariants respectively. Associated with these spaces, one has the classifying spaces of the finite groups , for an odd prime power q, and the exotic family of classifying spaces of 2-local finite groups . In this article we compute the loop space homology of and for all odd primes q, as Hopf algebras over the Steenrod algebra, and the associated Bockstein spectral sequences.

Original languageEnglish
Pages (from-to)1161–1182
Number of pages22
JournalForum Mathematicum
Volume24
Issue number6
DOIs
Publication statusPublished - Nov 2012

Keywords

  • classifying spaces
  • p-local finite groups
  • loop space homology

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