Mattarei, Sandro (2006) Retrieving information about a group from its character degrees or from its class sizes. Proceedings of the American Mathematical Society, 134 (08). pp. 2189-2196. ISSN 0002-9939
Full content URL: http://dx.doi.org/10.1090/S0002-9939-06-08274-8
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| Item Type: | Article |
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| Item Status: | Live Archive |
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
| Keywords: | Character degrees, Conjugacy class sizes |
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| Subjects: | G Mathematical and Computer Sciences > G100 Mathematics |
| Divisions: | College of Science > School of Mathematics and Physics |
| ID Code: | 18512 |
| Deposited On: | 17 Feb 2017 09:40 |
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