On representations of m-groups

被引：0
|
作者：
S. V. Varaksin
A. V. Zenkov
机构：
[1] Altai State University,
[2] Altai State University of Agriculture,undefined
来源：
Siberian Mathematical Journal | 2013年 / 54卷
关键词：
-group; -transitive representation; subdirectly indecomposable ; -group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain a description of the m-transitive representations of an arbitrary m-group. Some necessary and sufficient conditions are given for an m-group to admit a faithful m-transitive representation. We establish as a corollary that each subdirectly m-indecomposable group admits a faithful m-transitive representation, and so each variety of m-groups is generated by its m-transitive groups.
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页码：227 / 230
页数：3
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