Groups whose orders factorise into at most four primes

DOI10.1016/J.JSC.2021.04.005arXiv2012.02933MaRDI QIDQ6355358

Publication date: 4 December 2020

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.

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Abstract finite groups (20Dxx) Permutation groups (20Bxx)

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