Hall-Higman type theorems for semisimple elements of finite classical groups

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dc.creatorTiep, Pham Huu
dc.creatorZalesskii, Alexander E.
dc.date2008-10-05
dc.date.accessioned2026-07-07T10:07:46Z
dc.date.available2026-07-07T10:07:46Z
dc.descriptionWe prove an analogue of the celebrated Hall-Higman theorem, which gives a lower bound for the degree of the minimal polynomial of any semisimple element of prime power order $p^{a}$ of a finite classical group in any nontrivial irreducible cross characteristic representation. With a few explicit exceptions, this degree is at least $p^{a-1}(p-1)$.
dc.description57 pages. Proc. London Math. Soc., to appear
dc.identifierhttps://arxiv.org/abs/0810.0855
dc.identifierhttp://arxiv.org/abs/0810.0855
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170757
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C15, 20C20, 20C33, 20G05, 20G40
dc.titleHall-Higman type theorems for semisimple elements of finite classical groups
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