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Brouéʼs abelian defect group conjecture holds for the double cover of the Higman–Sims sporadic simple group

✍ Scribed by Shigeo Koshitani; Jürgen Müller; Felix Noeske

Book ID: 118161442
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 342 KB
Volume: 376
Category: Article
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.12.001

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In representation theory of finite groups, there is a well-known and important conjecture due to M. Broué. He conjectures that, for any prime p, if a finite group G has an abelian Sylow p-subgroup P, then the derived categories of the principal p-blocks of G and of the normalizer N G P of P in G are