Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group.

DOI10.1016/j.jalgebra.2004.03.003zbMath1065.20021OpenAlexW2040763249WikidataQ112881486 ScholiaQ112881486MaRDI QIDQ1880687

Katsushi Waki, Shigeo Koshitani, Naoko Kunugi

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.03.003

zbMATH Keywords

sporadic groupsdefect groupsderived equivalencesblocksBroué conjectureSuzuki groupBrauer correspondentsHeld 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 (11)

Broué's isotypy conjecture for the sporadic groups and their covers and automorphism 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. ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ On tensor products of simple modules for simple groups. ⋮ On saturated fusion systems and Brauer indecomposability of Scott modules. ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Trivial source characters in blocks with cyclic defect groups ⋮ Trivial source modules in blocks with cyclic defect groups. ⋮ The indecomposability of a certain bimodule given by the Brauer construction. ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\).

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