Testing of subgroups of a finite group for some embedding properties like pronormality

被引：0
|
作者：
Mysovskikh V.I. [1 ]
机构：
来源：
Journal of Mathematical Sciences | 1999年 / 95卷 / 2期
关键词：
Main Group; Finite Group; Computer Algebra; Computer Algebra System; Double Coset;
D O I：
10.1007/BF02169970
中图分类号：
学科分类号：
摘要：
Here we describe algorithms for testing subgroups of a finite group for the following embedding properties: pronormality, abnormality, paranormality, and their weak analogs. The method is based on the decomposition of the main group into some double cosets. These algorithms are realized in the computer algebra system GAP. ©1999 Kluwer Academic/Plenum Publishers.
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页码：2116 / 2118
页数：2
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