Fusion systems with some sporadic J-components

Justin Lynd, Julianne Rainbolt

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Abstract

Aschbacher's program for the classification of simple fusion systems of “odd” type at the prime 2 has two main stages: the classification of 2-fusion systems of subintrinsic component type and the classification of 2-fusion systems of J-component type. We make a contribution to the latter stage by classifying 2-fusion systems with a J-component isomorphic to the 2-fusion systems of several sporadic groups under the assumption that the centralizer of this component is cyclic.
Original languageEnglish
Pages (from-to)165-178
Number of pages14
JournalJournal of Algebra
Volume489
Early online date3 Jul 2017
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Fusion systems
  • Sporadic groups
  • Involution centralizer
  • Components

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