论文标题

将命令分解为最多四个素数的小组

Groups whose orders factorise into at most four primes

论文作者

Dietrich, Heiko, Eick, Bettina, Pan, Xueyu

论文摘要

在各种论文中,已经描述了将最多四个素数分解为四个素数的小组。鉴于这样的顺序n,本文表现出对N阶N组的同构类型的新明确和紧凑的确定,以及有效的算法,以枚举,构建和识别这些组。该算法是针对计算机代数系统差距实现的。

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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