The Burnside ring of fusion systems

Antonio Diaz, Assaf Libman

Research output: Contribution to journalArticle

8 Citations (Scopus)
3 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

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Burnside Ring
Fusion
Ring
Finite P-group
Finite Group

Keywords

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

Cite this

The Burnside ring of fusion systems. / Diaz, Antonio; Libman, Assaf.

In: Advances in Mathematics, Vol. 222, No. 6, 20.12.2009, p. 1943–1963.

Research output: Contribution to journalArticle

Diaz, Antonio ; Libman, Assaf. / The Burnside ring of fusion systems. In: Advances in Mathematics. 2009 ; Vol. 222, No. 6. pp. 1943–1963.
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