论文标题

最小不变的生成集

Minimal invariable generating sets

论文作者

Garzoni, Daniele, Lucchini, Andrea

论文摘要

如果$ s $的每个元素被任意的共轭替换为$ s $的$ g $的子集$ s $,则会产生$ g $,而随之而来的集合会产生$g。$一个不变的生成集合$ x $ $ g $的$ x $ g $如果没有适当的子集的$ x $ blably发电$G。

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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