Title of article
A probabilistic version of a theorem of lászló kovács and hyo-seob sim
Author/Authors
Lucchini, Andrea Dipartimento di Matematica Università - di Padova , Moscatiello, Mariapia Dipartimento di Matematica Università - di Padova
Pages
6
From page
1
To page
6
Abstract
For a finite group group, denote by 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 p∈π(G) there exists Gp≤G such that p does not divide |G:Gp| and V(Gp)≤d. Then V(G)≤d+7.
Keywords
Finite soluble groups , generation of finite groups
Journal title
International Journal of Group Theory
Serial Year
2020
Record number
2525962
Link To Document