论文标题

用环状Sylow亚组产生有限基团

Generation of finite groups with cyclic Sylow subgroups

论文作者

Dietrich, Heiko, Low, Darren

论文摘要

Slattery(2007)描述了列举,构建和识别无方序有限群的计算方法。我们将Slattery的结果推广到具有环状Sylow子组的有限组类别,并为计算机代数系统间隙提供了实现。

Slattery (2007) described computational methods to enumerate, construct, and identify finite groups of squarefree order. We generalise Slattery's result to the class of finite groups that have cyclic Sylow subgroups and provide an implementation for the computer algebra system GAP.

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