Minami-Webb splittings and some exotic p-local finite groups

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Abstract

We give a new proof of the Minami-Webb formula for classifying spaces of finite groups by exploiting Symonds's resolution of Webb's conjecture. The methods are applicable to obtain a stable decomposition of Minami's type for the classifying spaces of the three exotic p-local finite groups which were introduced by Ruiz and Viruel at the prime 7. We obtain a similar decomposition for the classifying spaces of a family of exotic p-local finite groups which were constructed by Broto, Levi and Oliver.

Original languageEnglish
Pages (from-to)515-548
Number of pages34
JournalMathematische Zeitschrift
Volume255
Issue number3
Early online date6 Sep 2006
DOIs
Publication statusPublished - Mar 2007

Keywords

  • homology decompositions
  • p-local finite groups
  • classifying-spaces
  • homotopy classification
  • Mackey functors
  • self-maps
  • decompositions
  • subgroups
  • sequence
  • homology
  • BG

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