Fusion-invariant representations for symmetric groups

DOI10.1007/S41980-024-00867-YzbMATH Open1542.20096MaRDI QIDQ6563290

Jose Cantarero, Jorge Gaspar-Lara

Publication date: 27 June 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fusion systemmonoid of representationsnonfactorial monoid

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Commutative semigroups (20M14)

Cites Work

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• Unitary embeddings of finite loop spaces
• Characters and cohomology of finite groups
• The abelian monoid of fusion-stable finite sets is free
• A faithful unitary representation of the 2-compact group \(DI(4)\)
• Character theory of finite groups
• A completion theorem for fusion systems
• A note on presentation of general linear groups over a finite field
• Homotopy representations of \(\mathrm{SO}(7)\) and \(\mathrm{Spin}(7)\) at the prime 2
• Equivariant \(K\)-theory and completion
• The essential rank of fusion systems of blocks of symmetric groups.
• The homotopy theory of fusion systems
• Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality
• Uniqueness of factorization for fusion-invariant representations

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