English

Minimal generation of transitive permutation groups

Group Theory 2018-01-31 v3

Abstract

It is proved in [21] that there is a constant cc such that each transitive permutation group of degree d2d\ge 2 can be generated by cd/logd\lfloor cd/\sqrt{\log{d}}\rfloor elements. In this paper, we explicitly estimate cc.

Keywords

Cite

@article{arxiv.1504.07506,
  title  = {Minimal generation of transitive permutation groups},
  author = {Gareth M. Tracey},
  journal= {arXiv preprint arXiv:1504.07506},
  year   = {2018}
}
R2 v1 2026-06-22T09:24:17.975Z