Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\).

DOI10.1016/j.jalgebra.2011.10.001zbMath1241.20019arXiv1011.4429OpenAlexW2099731790WikidataQ122954035 ScholiaQ122954035MaRDI QIDQ411778

Felix Noeske, Jürgen Müller, Shigeo Koshitani

Publication date: 30 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.4429

zbMATH Keywords

sporadic simple groupsderived equivalencesBroué conjectureAbelian defect groupsConway group \(Co_3\)Rickard equivalence

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of sporadic groups (20C34)

Related Items (8)

Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ 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. ⋮ Loewy lengths of blocks with abelian defect groups ⋮ 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

Uses Software

• GAP
• MeatAxe
• GAP Character Table Library
• CTblLib
• AtlasRep
• ATLAS Group Representations

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