English

Generation of finite groups with cyclic Sylow subgroups

Group Theory 2020-07-28 v2

Abstract

Slattery (2007) described computational methods to enumerate, construct, and identify finite groups of squarefree order. We generalise Slattery's result to the class of finite groups that have cyclic Sylow subgroups and provide an implementation for the computer algebra system GAP.

Keywords

Cite

@article{arxiv.2005.02569,
  title  = {Generation of finite groups with cyclic Sylow subgroups},
  author = {Heiko Dietrich and Darren Low},
  journal= {arXiv preprint arXiv:2005.02569},
  year   = {2020}
}

Comments

revision, 10 pages

R2 v1 2026-06-23T15:20:26.592Z