Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements

Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements

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 o...

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Bibliographic Details
Main Author: Andrea Lucchini
Format: Article
Language:English
Published: University of Isfahan 2018-03-01
Series:International Journal of Group Theory
Subjects:
‎Character degrees
class sizes
Online Access:http://ijgt.ui.ac.ir/article_21220_7d6849ef0c0f20d2874ee36c05cf3ef1.pdf

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