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arXiv · 2212.02943

Finite groups in which there are only two possible cardinalities for an independent generating set

Andrea Lucchini·Pablo Spiga
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Abstract

A generating set $S$ for a group $G$ is independent if the subgroup generated by $S\setminus \{s\}$ is properly contained in $G$, for all $s \in S.$ In this paper, we study a problem proposed by Peter Glasby: we investigate finite groups, where there are only two possible cardinalities for the independet generating sets.

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Andrea Lucchini, Pablo Spiga. 2022-12-06. Finite groups in which there are only two possible cardinalities for an independent generating set. https://arxiv.org/abs/2212.02943

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