Groups whose orders factorise into at most four primes
Group Theory
2022-02-23 v3
Abstract
The groups whose orders factorise into at most four primes have been described (up to isomorphism) in various papers. Given such an order n, this paper exhibits a new explicit and compact determination of the isomorphism types of the groups of order n together with effective algorithms to enumerate, construct, and identify these groups. The algorithms are implemented for the computer algebra system GAP.
Cite
@article{arxiv.2012.02933,
title = {Groups whose orders factorise into at most four primes},
author = {Heiko Dietrich and Bettina Eick and Xueyu Pan},
journal= {arXiv preprint arXiv:2012.02933},
year = {2022}
}
Comments
This version corrects two minor typos in Table 4