关于正规子群

Int. J. Algebra Comput. Pub Date : 2022-02-17 DOI:10.1142/s0218196722500163

M. Dixon, L. A. Kurdachenko, I. Subbotin

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引用次数: 0

摘要

我们引入了正规子群的概念:如果子群的正规闭包是正规的，那么子群就是正规的。这统一了正规子群和异正规子群的概念。我们得到了正规子群的一些重要性质，描述了它们与正规可传递性的联系，以及所有正规子群都是正规的学习群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On conormal subgroups

We introduce the concept of a conormal subgroup: a subgroup is conormal if it is contranormal in its normal closure. This unifies the concepts of normal and contranormal subgroups. We obtain some important properties of conormal subgroups, describe their connections with transitivity of normality, and study groups in which all conormal subgroups are normal.

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Int. J. Algebra Comput.

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