We prove that 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 knowledge of the conjugacy class sizes is known. We prove variations of both results and discuss their similarities.

Mattarei, S. (2006). Retrieving information about a group from its character degrees or from its class sizes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134(8), 2189-2195 [10.1090/S0002-9939-06-08274-8].

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

Mattarei, S
2006

Abstract

We prove that 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 knowledge of the conjugacy class sizes is known. We prove variations of both results and discuss their similarities.
Articolo in rivista - Articolo scientifico
Character degrees; Conjugacy class sizes
English
2006
134
8
2189
2195
embargoed_20340202
Mattarei, S. (2006). Retrieving information about a group from its character degrees or from its class sizes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134(8), 2189-2195 [10.1090/S0002-9939-06-08274-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/451168
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