Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups

DOI10.1081/AGB-120018994zbMath1023.20004OpenAlexW1967462304MaRDI QIDQ4807579

Shigeo Koshitani

Publication date: 19 May 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120018994

zbMATH Keywords

Morita equivalencesgroup algebrasdefect groupsfinite \(p\)-groupssource algebras\(p\)-modular systemsblock algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

Cartan matrices and Brauer's \(k(B)\)-conjecture V ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Loewy lengths of blocks with abelian defect groups

Cites Work

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• DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9
• The modular characters of the Higman-Sims simple group
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• Morita Equivalent 3-Blocks of the 3-Dimensional Projective Special Linear Groups
• Equivalences for blocks of the Weyl groups
• Splendid Equivalences: Derived Categories and Permutation Modules
• Source algebra equivalences for blocks of finite general linear groups over a fixed field

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