detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements
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ID: 148618
2018
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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.
| Reference Key |
lucchini2018internationaldetecting
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|---|---|
| Authors | ;Andrea Lucchini |
| Journal | meditsina truda i promyshlennaya ekologiya |
| Year | 2018 |
| DOI |
10.22108/ijgt.2017.21220
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| URL | |
| Keywords | Keywords not found |
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