Groups with a Character of Large Degree

dc.creatorSnyder, Noah
dc.date2006-03-10
dc.date2008-08-28
dc.date.accessioned2026-07-07T09:58:45Z
dc.date.available2026-07-07T09:58:45Z
dc.descriptionLet G be a finite group of order n and V an irreducible representation over the complex numbers of dimension d. For some nonnegative number e, we have n=d(d+e). If e is small, then the character of V has unusually large degree. We fix e and attempt to classify such groups. For e<=3 we give a complete classification. For any other fixed e we show that there are only finitely many examples.
dc.description11 pages, 0 figures. v3 incorporates the referee's suggestions
dc.identifierhttps://arxiv.org/abs/math/0603239
dc.identifierhttp://arxiv.org/abs/math/0603239
dc.identifierProc. Amer. Math. Soc. 136 (2008), no. 6, 1893--1903
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167835
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20C15
dc.titleGroups with a Character of Large Degree
dc.typetext

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