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Paper
Title

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

Year: 1399
COI: JR_THEGR-9-1_002
Language: EnglishView: 45
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Authors

Andrea Lucchini - Dipartimento di Matematica Università di Padova
Mariapia Moscatiello - Dipartimento di Matematica Università di Padova

Abstract:

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 $۱/e.$ Let $G$ be a finite soluble group‎. ‎{Assume} that for every $p\in \pi(G)$ there exists $G_p\leq G$ such that $p$ does not divide $|G:G_p|$ and ${\mathcal V}(G_p)\leq d.$ Then ${\mathcal V}(G)\leq d+۷.$‎

Keywords:

‎‎‎Finite soluble groups , generation of finite groups

Paper COI Code

This Paper COI Code is JR_THEGR-9-1_002. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1194936/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Lucchini, Andrea and Moscatiello, Mariapia,1399,A probabilistic version of a theorem of lászló kovács and hyo-seob sim,https://civilica.com/doc/1194936

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