The Burnside ring of fusion systems

DOI10.1016/j.aim.2009.06.023zbMath1188.19001OpenAlexW2017454455MaRDI QIDQ1034082

Assaf Libman, Antonio Díaz Ramos

Publication date: 10 November 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2164/2698

zbMATH Keywords

Burnside ringfusion system

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Categorified groupoid-sets and their Burnside ring, Green correspondence on centric Mackey functors over fusion systems, Euler characteristics and Möbius algebras of \(p\)-subgroup categories., Transfer and characteristic idempotents for saturated fusion systems, Categorical constructions related to finite groups, Generalised Burnside rings, G-categories and module categories, Homotopy equivalences between \(p\)-subgroup categories

Cites Work

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• Frobenius categories.
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• All 𝑝-local finite groups of rank two for odd prime 𝑝
• Isomorphic burnside rings
• The homotopy theory of fusion systems
• The Burnside algebra of a finite group
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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