Center of some solvable groups with one defining relation

被引：0

作者：

Timoshenko, EI ^{[1
]}

机构：

[1] Novosibirsk State Acad Construct, Novosibirsk, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 5-6期

关键词：

metabelian group; free group; center of a group; pi-solvable group; defining relations;

D O I：

10.1007/BF02313038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions for the center of a metabelian group with one defining relation to be nontrivial are found. The center of such a group is described. The center of a group of the form F/N'< g >(F) is studied under certain conditions. By means of a new technique, the recent result of A. F. Krasnikov and the author on the center of a group of the above form is sharpened.

引用

页码：798 / 803

页数：6

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