Let G be a finite group and let p1, ⋯ , pn be distinct primes. If G contains an element of order p1⋯ pn, then there is an element in G which is not contained in the Frattini subgroup of G and whose order is divisible by p1⋯ pn.
On the orders of the non-Frattini elements of a finite group
Lucchini, Andrea
2018
Abstract
Let G be a finite group and let p1, ⋯ , pn be distinct primes. If G contains an element of order p1⋯ pn, then there is an element in G which is not contained in the Frattini subgroup of G and whose order is divisible by p1⋯ pn.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
