Let G be a finite group. A family M of maximal subgroups of G is called irredundant if its intersection is not equal to the intersection of any proper subfamily. M is called maximal irredundant if M is irredundant and it is not properly contained in any other irredundant family. We denote by (G) when G is the alternating group on n letters.
Let G be a finite group. A family M of maximal subgroups of G is called “irredundant” if its intersection is not equal to the intersection of any proper subfamily. M is called “maximal irredundant” if M is irredundant and it is not properly contained in any other irredundant family. We denote by Mindim(G) the minimal size of a maximal irredundant family of G. In this paper we compute Mindim(G) when G is the alternating group on n letters.
Maximal irredundant families of minimal size in the alternating group
Garonzi M.;
2019
Abstract
Let G be a finite group. A family M of maximal subgroups of G is called “irredundant” if its intersection is not equal to the intersection of any proper subfamily. M is called “maximal irredundant” if M is irredundant and it is not properly contained in any other irredundant family. We denote by Mindim(G) the minimal size of a maximal irredundant family of G. In this paper we compute Mindim(G) when G is the alternating group on n letters.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
