Segal's conjecture and the Burnside rings of fusion systems

Antonio Diaz; Assaf Libman

doi:10.1112/jlms/jdp048

Segal's conjecture and the Burnside rings of fusion systems

Antonio Diaz, Assaf Libman

Mathematical Science

University of Málaga

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

9 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 language	English
Pages (from-to)	665–679
Number of pages	15
Journal	Journal of the London Mathematical Society
Volume	80
Issue number	3
Early online date	16 Sept 2009
DOIs	https://doi.org/10.1112/jlms/jdp048
Publication status	Published - Dec 2009

Keywords

fusion systems
Burnside ring

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10.1112/jlms/jdp048

Segal's conjecture and the Burnside ring of fusion systems
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of the London Mathematical Society following peer review. The definitive publisher-authenticated version Diaz, A & Libman, A 2009, 'Segal's conjecture and the Burnside rings of fusion systems' Journal of the London Mathematical Society, vol 80, no. 3, pp. 665–679 is available online at: http://jlms.oxfordjournals.org/content/80/3/665
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Segal's conjecture and the Burnside rings of fusion systems

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Keywords

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