On the (crossed) Burnside ring of profinite groups

DOI10.1016/j.jalgebra.2022.12.027OpenAlexW4313398831MaRDI QIDQ2682841

Nadia Mazza

Publication date: 1 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15788

zbMATH Keywords

profinite groupsFC-groupsMackey functors(crossed) Burnside ring

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Limits, profinite groups (20E18) FC-groups and their generalizations (20F24)

Cites Work

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• The Burnside ring of profinite groups and the Witt vector construction
• Cohomological Mackey functors in number theory
• Transformation groups
• Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
• The \(p\)-blocks of the Mackey algebra
• A characterisation of solvable groups
• Periodic FC -Groups
• COHOMOLOGICAL DIMENSION OF MACKEY FUNCTORS FOR INFINITE GROUPS
• Tambara Functors on Profinite Groups and Generalized Burnside Functors
• Profinite Groups with Restricted Centralizers
• The Structure of Mackey Functors
• Crossed Burnside rings. I: The fundamental theorem

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