Broué's conjecture for non-principal 3-blocks of finite groups

DOI10.1016/S0022-4049(01)00170-0zbMath1013.20009OpenAlexW1995616706WikidataQ123241667 ScholiaQ123241667MaRDI QIDQ1612165

Katsushi Waki, Shigeo Koshitani, Naoko Kunugi

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00170-0

zbMATH Keywords

defect groupsderived equivalencesblockssplendid equivalencesBroué's conjecturetrivial source modulesO'Nan simple groupHigman-Sims simple group

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of sporadic groups (20C34)

Related Items (9)

Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group. ⋮ Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups ⋮ Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ Perverse equivalences and Broué's conjecture. ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Trivial source modules in blocks with cyclic defect groups. ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\).

Cites Work

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