Minimal invariable generating sets

Daniele Garzoni; Andrea Lucchini

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arXiv · 2203.00726

Minimal invariable generating sets

Daniele Garzoni·Andrea Lucchini

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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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Daniele Garzoni, Andrea Lucchini. 2022-03-01. Minimal invariable generating sets. https://arxiv.org/abs/2203.00726

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