A subset S of a group G invariably generates G if, when each element of S is replaced by an arbitrary conjugate, the resulting set generates G. An invariable generating set X of G is called minimal if no proper subset of X invariably generates G. We will address several questions related to the behaviour of minimal invariable generating sets of a finite group.
Minimal invariable generating sets
Garzoni D.;Lucchini A.
2020
Abstract
A subset S of a group G invariably generates G if, when each element of S is replaced by an arbitrary conjugate, the resulting set generates G. An invariable generating set X of G is called minimal if no proper subset of X invariably generates G. We will address several questions related to the behaviour of minimal invariable generating sets of a finite group.
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