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The local structure of finite groups of characteristic $2$ type

About this Title

Daniel Gorenstein and Richard Lyons

Publication: Memoirs of the American Mathematical Society
Publication Year 1983: Volume 42, Number 276
ISBNs: 978-0-8218-2276-0 (print); 978-1-4704-0686-8 (online)
MathSciNet review: 690900
MSC: Primary 20D05

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Table of Contents


  • 1. Introduction
  • Part I. Properties of $K$-groups, and preliminary lemmas
  • 2. Decorations of the known simple groups
  • 3. Local subgroups of the known simple groups
  • 4. Balance and signalizers
  • 5. Generational properties of $K$-groups
  • 6. Factorizations
  • 7. Miscellaneous general results and lemmas about $K$-groups
  • Appendix
  • Part II. The trichotomy theorem
  • 1. Odd standard form
  • 2. Signalizer functors and weak proper 2-generated $p$-cores
  • 3. Almost strongly $p$-embedded maximal 2-local subgroups