English

The perfect groups of order up to two million

Group Theory 2021-10-12 v3

Abstract

We enumerate the 15768 perfect groups of order up to 21062\cdot 10^6, up to isomorphism, thus also completing the missing cases in the prior classification. The work supplements the by now well-understood computer classifications of solvable groups, illustrating scope and feasibility of the enumeration process for nonsolvable groups.

Keywords

Cite

@article{arxiv.2104.10828,
  title  = {The perfect groups of order up to two million},
  author = {Alexander Hulpke},
  journal= {arXiv preprint arXiv:2104.10828},
  year   = {2021}
}