Retrieving Information about a Group from Its Character Degrees or from Its Class Sizes
نویسنده
چکیده
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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تاریخ انتشار 2005