A geometric construction of saturated fusion systems

Ran Levi, C. Broto, B. Oliver

Research output: Contribution to journalArticle

Abstract

A saturated fusion system consists of a finite p-group S, together with a category which encodes "conjugacy" relations among subgroups of S, and which satisfies certain axioms which are motivated by properties of the fusion in a Sylow p-subgroup of a finite group. We describe here new ways of constructing abstract saturated fusion systems, first as fusion systems of spaces with certain properties, and then via certain graphs.

Original languageEnglish
Pages (from-to)11-40
Number of pages29
JournalContemporary Mathematics
Volume399
Publication statusPublished - 2006

Keywords

  • classifying space
  • p-completion
  • finite groups
  • fusion
  • FINITE-GROUPS
  • CLASSIFYING-SPACES
  • SUBGROUPS

Cite this

A geometric construction of saturated fusion systems. / Levi, Ran; Broto, C.; Oliver, B.

In: Contemporary Mathematics, Vol. 399, 2006, p. 11-40.

Research output: Contribution to journalArticle

Levi, Ran ; Broto, C. ; Oliver, B. / A geometric construction of saturated fusion systems. In: Contemporary Mathematics. 2006 ; Vol. 399. pp. 11-40.
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