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Bounding the maximal size of independent generating sets of finite groups

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 نشر من قبل Pablo Spiga
 تاريخ النشر 2019
  مجال البحث
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Denote by $m(G)$ the largest size of a minimal generating set of a finite group $G$. We estimate $m(G)$ in terms of $sum_{pin pi(G)}d_p(G),$ 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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