Groups whose orders factorise into at most four primes

Heiko Dietrich; Bettina Eick; Xueyu Pan

doi:10.1016/j.jsc.2021.04.005

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arXiv · 2012.02933

Groups whose orders factorise into at most four primes

Heiko Dietrich·Bettina Eick·Xueyu Pan

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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.

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Heiko Dietrich, Bettina Eick, Xueyu Pan. 2020-12-05. Groups whose orders factorise into at most four primes. https://doi.org/10.1016/j.jsc.2021.04.005

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