University of IsfahanInternational Journal of Group Theory2251-76507120180301Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements17212122010.22108/ijgt.2017.21220ENAndrea LucchiniDipartimento di Matematica
Università di PadovaJournal Article20160718We 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.http://ijgt.ui.ac.ir/article_21220_7d6849ef0c0f20d2874ee36c05cf3ef1.pdf