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arXiv · 1908.01160

Bounding the maximal size of independent generating sets of finite groups

Andrea Lucchini·Mariapia Moscatiello·Pablo Spiga
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Abstract

Denote by $m(G)$ the largest size of a minimal generating set of a finite group $G$. We estimate $m(G)$ in terms of $\sum_{p\in \pi(G)}d_p(G),$ where we are denoting by $d_p(G)$ the minimal number of generators of a Sylow $p$-subgroup of $G$ and by $\pi(G)$ the set of prime numbers dividing the order of $G$.

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Andrea Lucchini, Mariapia Moscatiello, Pablo Spiga. 2019-08-03. Bounding the maximal size of independent generating sets of finite groups. https://arxiv.org/abs/1908.01160

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