On finite p-groups satisfying given laws

被引：0
|
作者：
Primož Moravec
机构：
[1] University of Ljubljana,Faculty of Mathematics and Physics
来源：
Monatshefte für Mathematik | 2019年 / 190卷
关键词：
Finite ; -groups; Varieties of groups; Coclass; Powerful ; -groups; 20D15; 20E10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A variety of groups does not contain all metabelian groups if and only if there is an absolute bound for the nilpotency classes of powerful p-groups in the given variety. Similarly, a variety contains only finitely many finite p-groups of any given coclass if and only if not every group that is an extension of an abelian group by an elementary abelian p-group belongs to that variety.
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页码：589 / 593
页数：4
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