Segal's conjecture and the Burnside rings of fusion systems

Antonio Diaz, Assaf Libman

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
6 Downloads (Pure)

Abstract

For a given saturated fusion system F we define the ring A(S)^F of the F-invariants of the Burnside ring functor. We show how this ring is related to the Burnside ring of the fusion system F and how it appears naturally in the analogue of Segal's conjecture for the classifying spectrum ¿F. We give an explicit description of A(S)^F and we prove it is a local ring.
Original languageEnglish
Pages (from-to)665–679
Number of pages15
JournalJournal of the London Mathematical Society
Volume80
Issue number3
Early online date16 Sep 2009
DOIs
Publication statusPublished - Dec 2009

Keywords

  • fusion systems
  • Burnside ring

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