Primitivity testing of finite nilpotent linear groups

被引:1
作者
Rossmann, Tobias [1 ]
机构
[1] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源
LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2011年 / 14卷
基金
爱尔兰科学基金会;
关键词
D O I
10.1112/S1461157010000227
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe a practical algorithm for primitivity testing of finite nilpotent linear groups over various fields of characteristic zero, including number fields and rational function fields over number fields. For an imprimitive group, a system of imprimitivity can be constructed. An implementation of the algorithm in MAGMA is publicly available.
引用
收藏
页码:87 / 98
页数:12
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