Ordinary Grothendieck Groups of a Frobenius P-Category

DOI10.1142/S1005386711000022zbMath1228.20008arXiv1004.1615OpenAlexW1976219569MaRDI QIDQ3067768

Lluis Puig

Publication date: 13 January 2011

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

Full work available at URL: https://arxiv.org/abs/1004.1615

zbMATH Keywords

finite groupsdefect groupsblocksGrothendieck groupsAlperin weight conjectureFrobenius categories

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) (p)-adic representations of finite groups (20C11) Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items (1)

Equivariant Alperin-Robinson's conjecture reduces to almost-simple \(k^*\)-groups.

Cites Work

• Block source algebras in \(p\)-solvable groups.
• Pointed groups and construction of modules
• Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.

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