lászló kovács和hyo-seob - sim定理的概率版本

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2020-03-01 DOI:10.22108/IJGT.2018.112531.1496

A. Lucchini, Mariapia Moscatiello

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引用次数: 0

摘要

对于有限群，用数学V(G)表示最小的正整数k，其性质是由k个随机选择的元素产生G的概率至少为1/e。设$G$是一个有限可溶群。{假设}对于每一个$pin pi(G)$，存在$G_pleq G$，使得$p$不能除$|G:G_p|$和${mathcal V}(G_p)leq d。$则${mathcal V}(G)leq d+7.$

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A probabilistic version of a theorem of lászló kovács and hyo-seob sim

For a finite group group‎, ‎denote by $mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group‎. ‎{Assume} that for every $pin pi(G)$ there exists $G_pleq G$ such that $p$ does not divide $|G:G_p|$ and ${mathcal V}(G_p)leq d.$ Then ${mathcal V}(G)leq d+7.$‎

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.