Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Benjamin Sambale

Organisationseinheiten

Externe Organisationen

  • Friedrich-Schiller-Universität Jena
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Details

OriginalspracheEnglisch
Seiten (von - bis)951-976
Seitenumfang26
FachzeitschriftInternational Journal of Algebra and Computation
Jahrgang25
Ausgabenummer6
PublikationsstatusVeröffentlicht - 1 Sept. 2015

Abstract

Let B be a p-block of a finite group G with abelian defect group D such that S & G ; Aut(S), S′ = S and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. This has been done by Rouquier for principal blocks and it remains to deal with the non-principal blocks.

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Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups. / Sambale, Benjamin.
in: International Journal of Algebra and Computation, Jahrgang 25, Nr. 6, 01.09.2015, S. 951-976.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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