THE LEVI CLASSES GENERATED BY NILPOTENT GROUPS

被引：8

作者：

Lodeyshchikova, V. V. ^{[1
]}

机构：

[1] Altai State Univ, Barnaul 656099, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2010年 / 51卷 / 06期

关键词：

quasivariety; Levi class; nilpotent group;

D O I：

10.1007/s11202-010-0105-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an arbitrary class M of groups, denote by L(M) the class of all groups G in which the normal closure of every element belongs to M. Consider the quasivariety F-q(p) generated by the relatively free group in the class of nilpotent groups of length at most 2 with the commutant of exponent p (where p is an odd prime). We describe the Levi class that is generated by F-q(p).

引用

页码：1075 / 1080

页数：6

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