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Broué's Abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group.

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Publication:360167
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DOI10.1016/j.jalgebra.2012.12.001zbMath1277.20015arXiv1206.0358OpenAlexW2964187337WikidataQ123333162 ScholiaQ123333162MaRDI QIDQ360167

Shigeo Koshitani, Jürgen Müller, Felix Noeske

Publication date: 26 August 2013

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

Full work available at URL: https://arxiv.org/abs/1206.0358


zbMATH Keywords

sporadic simple groups\(p\)-blocksBroué conjectureBrauer correspondencedouble coversHigman-Sims groupAbelian defect groupssplendid derived equivalences


Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Modular representations and characters (20C20) Representations of sporadic groups (20C34)


Related Items

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.



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