Reduced fusion systems over p-groups with abelian subgroup of index p: II

David Craven, Bob Oliver, Jason Semeraro

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
101 Downloads (Pure)

Abstract

Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p. We classify the simple fusion systems over all such groups S in which A is essential. The resulting list, which depends on the classification of finite simple groups, includes a large variety of new, exotic simple fusion systems.
Original languageEnglish
Pages (from-to)201–268
Number of pages68
JournalAdvances in Mathematics
Volume322
Early online date13 Nov 2017
DOIs
Publication statusPublished - 15 Dec 2017

Keywords

  • finite groups
  • fusion
  • finite simple groups
  • modular representations
  • sylow subgroups

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