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.
Maximal irredundant families of minimal size in the alternating group
Garonzi M.;Lucchini A.
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 (G) when G is the alternating group on n letters.
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