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arXiv:math/0510306 [math.GR]AbstractReferencesReviewsResources

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

Sandro Mattarei

Published 2005-10-14Version 1

We 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.

Comments: 9 pages, to be published in Proc. Amer. Math. Soc
Journal: Proc. Amer. Math. Soc. 134 (2006), 2189-2195
Categories: math.GR
Subjects: 20C05, 20C15, 20E45
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