The Burnside ring of fusion systems

Antonio Diaz, Assaf Libman

Research output: Contribution to journalArticle

9 Citations (Scopus)
5 Downloads (Pure)

Abstract

Given a saturated fusion system F on a finite p-group S we define a ring A(F) modeled on the Burnside ring A(G) of finite groups. We show that these rings have several properties in common. When F is the fusion system of G we describe the relationship between these rings.
Original languageEnglish
Pages (from-to)1943–1963
Number of pages21
JournalAdvances in Mathematics
Volume222
Issue number6
Early online date4 Aug 2009
DOIs
Publication statusPublished - 20 Dec 2009

Keywords

  • fusion system
  • Burnside ring
  • p-local finite groups
  • orbit category

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