The Broué conjecture for the faithful 3-blocks of 4.\(M_{22}\).

DOI10.1016/j.jalgebra.2008.01.043zbMath1146.20007OpenAlexW2082859293WikidataQ123133617 ScholiaQ123133617MaRDI QIDQ933364

Jürgen Müller, Mary Elizabeth Schaps

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.01.043

zbMATH Keywords

derived equivalencesBroué conjecturestable equivalencesendopermutation modulesFrobenius actionssporadic simple Mathieu group \(M_{22}\)

Mathematics Subject Classification ID

Representations of sporadic groups (20C34)

Related Items (5)

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. ⋮ Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups. ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\).

Uses Software

• GAP
• MeatAxe
• ATLAS Group Representations

Cites Work

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• Morita Theory for Derived Categories
• Derived Equivalences As Derived Functors
• Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras
• Endliche Gruppen I
• Determination of socle series using the condensation method

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