Retrieving information about a group from its character degrees or its class sizes

dc.creatorMattarei, Sandro
dc.date2005-10-14
dc.date.accessioned2026-07-07T06:47:30Z
dc.date.available2026-07-07T06:47:30Z
dc.descriptionWe prove that a knowledge of the character degrees of a finite group G and of their multiplicities determines whether G has a Sylow p-subgroup as a direct factor. An analogous result based on a knowledge of the conjugacy class sizes was known. We prove variations of both results and discuss their similarities.
dc.description9 pages, to be published in Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0510306
dc.identifierhttp://arxiv.org/abs/math/0510306
dc.identifierProc. Amer. Math. Soc. 134 (2006), 2189-2195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103671
dc.subjectGroup Theory
dc.subject20C05; 20C15; 20E45
dc.titleRetrieving information about a group from its character degrees or its class sizes
dc.typetext

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