The Burnside ring of fusion systems

Antonio Diaz; Assaf Libman

doi:10.1016/j.aim.2009.06.023

The Burnside ring of fusion systems

Antonio Diaz, Assaf Libman

Mathematical Science

University of Málaga

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

11 Citations (Scopus)

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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 language	English
Pages (from-to)	1943–1963
Number of pages	21
Journal	Advances in Mathematics
Volume	222
Issue number	6
Early online date	4 Aug 2009
DOIs	https://doi.org/10.1016/j.aim.2009.06.023
Publication status	Published - 20 Dec 2009

Keywords

fusion system
Burnside ring
p-local finite groups
orbit category

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10.1016/j.aim.2009.06.023

The Burnside ring of fusion systems
NOTICE: this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in ADVANCES IN MATHEMATICS, [VOL 222, ISSUE 6, (2009)] DOI: 10.1016/j.aim.2009.06.023
Accepted author manuscript, 237 KB

Cite this

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KW - Burnside ring

KW - p-local finite groups

KW - orbit category

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DO - 10.1016/j.aim.2009.06.023

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JO - Advances in Mathematics

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The Burnside ring of fusion systems

Abstract

Keywords

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