Let G be a finite group and let C be a subgroup of G. We prove that in order to get information on the set of primes dividing the index |G:C| of G in C it is enough to look at the primes dividing |H:Ccap H|, where H is a suitable subgroup of G with few generators.
A. Lucchini, M. Morigi (2011). Recognizing the prime divisors of the index of a proper subgroup. JOURNAL OF ALGEBRA, 337, 335-344 [10.1016/j.jalgebra.2011.02.041].
Recognizing the prime divisors of the index of a proper subgroup
MORIGI, MARTA
2011
Abstract
Let G be a finite group and let C be a subgroup of G. We prove that in order to get information on the set of primes dividing the index |G:C| of G in C it is enough to look at the primes dividing |H:Ccap H|, where H is a suitable subgroup of G with few generators.File in questo prodotto:
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