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.
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页码：89 / 94
页数：5
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