English

A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated

Group Theory 2016-03-29 v1

Abstract

Assume that all the Sylow subgroups of a finite group GG can be generated by dd elements. Then the expected number of elements of GG which have to be drawn at random, with replacement, before a set of generators is found, is at most d+ηd+\eta with η2.875065.\eta \sim 2.875065.

Keywords

Cite

@article{arxiv.1603.08098,
  title  = {A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated},
  author = {Andrea Lucchini},
  journal= {arXiv preprint arXiv:1603.08098},
  year   = {2016}
}