Groups with Chernikov factor-group by hypercentral

被引：0
|
作者：
Leonid A. Kurdachenko
Javier Otal
机构：
[1] National University of Dnepropetrovsk,Department of Algebra
[2] University of Zaragoza,Department of Mathematics
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2015年 / 109卷
关键词：
Upper central series of a group; Hypercenter of a group; Hypercentral group; Locally nilpotent residual of a group; -rank of an abelian group; -minimax and minimax rank of a group; Chernikov group; Schur’s theorem ; Baer’s theorem; -decomposition; -hypercentral module; -nilpotent module; 20F14; 20F19; 20F99;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we extend some classical theorems involving the terms and the factors groups of the central series of a group. Specifically we show that a periodic hypercentral-by-Chernikov group is Chernikov-by-hypercentral and obtain explicit bounds that describe numerical invariants of the second structure of the group as function of the first one.
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页码：569 / 579
页数：10
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