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

Sandro Mattarei

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

Sandro Mattarei

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Abstract

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.

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Sandro Mattarei. 2005-10-14. Retrieving information about a group from its character degrees or its class sizes. https://arxiv.org/abs/math/0510306

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