Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements
عنوان مقاله: Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements
شناسه ملی مقاله: JR_THEGR-7-1_004
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_THEGR-7-1_004
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
Andrea Lucchini - Dipartimento di Matematica Università di Padova
خلاصه مقاله:
Andrea Lucchini - Dipartimento di Matematica Università di Padova
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.
کلمات کلیدی: Character degrees, class sizes
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194981/