Regular Sylow $d$-Tori of classical groups and the McKay conjecture

dc.creatorSpaeth, Britta
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:28Z
dc.date.available2026-07-07T12:56:28Z
dc.descriptionWe prove for finite reductive groups $G$ of classical type, that every irreducible character of $L$ extends to its inertia group in $N$, where $L$ is an abelian centraliser of a Sylow $d$-torus $\mathbf S$ of $G$ and $N:=N_G(\mathbf S)$. This gives a precise description of the irreducible characters of $N$. Furthermore it enables us to verify the McKay conjecture in this situation for $G$ and some primes.
dc.identifierhttps://arxiv.org/abs/0903.4336
dc.identifierhttp://arxiv.org/abs/0903.4336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224595
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.titleRegular Sylow $d$-Tori of classical groups and the McKay conjecture
dc.typetext

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