Wreath products of the groups of monotone permutations

被引：0
|
作者：
A. V. Zenkov
机构：
[1] Altaĭ Agricultural State University,
来源：
Siberian Mathematical Journal | 2011年 / 52卷
关键词：
-group; representation; -congruence; wreath product;
D O I：
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中图分类号：
学科分类号：
摘要：
We introduce the concept of wreath product of the m-groups of permutations and prove that an m-transitive group of permutations with an m-congruence is embeddable into the wreath product of the suitable m-transitive m-groups of permutations. This implies that an arbitrary m-transitive group in the product of two varieties of m-groups embeds into the wreath product of the suitable m-transitive groups of these varieties.
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页码：1003 / 1008
页数：5
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