@article{cbfb678bd0ae4108a7d6a3841fd07c16,
title = "Groups whose orders factorise into at most four primes",
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.",
keywords = "Group determination, Group enumeration, SmallGroup database",
author = "Heiko Dietrich and Bettina Eick and Xueyu Pan",
note = "Funding Information: The first author was supported by an Australian Research Council grant DP190100317 . The third author was supported by an Australian RTP scholarship; part of this work is based on the MPhil thesis of the third author, see Pan (2021) . The authors thank Mike Newman for various helpful discussions. Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2022",
month = jan,
day = "1",
doi = "10.1016/j.jsc.2021.04.005",
language = "English",
volume = "108",
pages = "23--40",
journal = "Journal of Symbolic Computation",
issn = "0747-7171",
publisher = "Elsevier",
}