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arXiv · 1710.00582

Finite soluble groups satisfying the replacement property

A. Lucchini
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Abstract

We investigate the finite soluble groups $G$ with the following property (replacement property): for every irredundant generating set $\{g_1,\dots,g_m\}$ of maximal size and for any $1\neq g\in G$ there exists an $i\in \{1,\dots,m\}$ so that $\langle g_1,\dots,g_{i-1},g,g_{i+1},\dots,g_m\rangle=G.$

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A. Lucchini. 2017-10-02. Finite soluble groups satisfying the replacement property. https://arxiv.org/abs/1710.00582

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