detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements
Abstract
We prove that every finite group $G$ contains a three-generated subgroup $H$ with the following property: a prime $p$ divides the degree of an irreducible character of $G$ if and only if it divides the degree of an irreducible character of $H.$ There is no analogous result for the prime divisors of the sizes of the conjugacy classes.
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148618
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0x95644003c57E6F55A65596E3D9Eac6813e3566dA
Article ID:
148618
Unique Identifier:
10.22108/ijgt.2017.21220
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Scimatic Chain (ID: 481)
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