Reduced Fusion Systems Over 2-Groups of Sectional Rank at Most 4 (Memoirs of the American Mathematical Society)

by Bob Oliver

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The author classifies all reduced, indecomposable fusion systems over finite $2$-groups of sectional rank at most $4$. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional $2$-rank at most $4$. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.
  • ISBN13 9781470415488
  • Publish Date 1 January 2016
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 100
  • Language English