On groups with nilpotent by Černikov proper subgroups

被引：0

作者：

Franco Napolitani

Elisabetta Pegoraro

机构：

[1] Dipartimento di Matematica Pura ed Applicata,

[2] Università di Padova,undefined

[3] Via Belzoni 7,undefined

[4] I-35131 Padova,undefined

[5] Italy,undefined

来源：

Archiv der Mathematik | 1997年 / 69卷

关键词：

Proper Subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we study locally graded groups in which all proper subgroups are nilpotent by Černikov. We prove that such groups are nilpotent by Černikov or periodic. Moreover, a locally graded group is abelian by Černikov if and only if every proper subgroup is abelian by Černikov.

引用

页码：89 / 94

页数：5

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