Control of fusion by Abelian subgroups of the hyperfocal subgroup

Ellen Henke, Jun Liao

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Abstract

We prove that an isomorphism between saturated fusion systems over the same finite p-group is detected on the elementary abelian subgroups of the hyperfocal subgroup if p is odd, and on the abelian subgroups of the hyperfocal subgroup of exponent at most 4 if p = 2. For odd p, this has implications for mod p group cohomology.
Original languageEnglish
Article number1850024
Number of pages11
JournalJournal of Algebra and its Applications
Volume17
Issue number2
Early online date22 Mar 2017
DOIs
Publication statusPublished - Feb 2018

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Keywords

  • math.GR
  • fusion systems
  • group cohomology

ASJC Scopus subject areas

  • Mathematics(all)

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