SEMIVARIETIES OF NILPOTENT GROUPS

被引：0

作者：

Budkin, A. I.

机构：

[1] Barnaul 656064, Pavlovskii road

来源：

ALGEBRA AND LOGIC | 2010年 / 49卷 / 05期

关键词：

variety; semivariety; nilpotent group;

D O I：

10.1007/s10469-010-9104-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Semivarieties of groups are quasivarieties defined by quasi-identities of the form t - 1 -> f = 1. It is proved that a set of semivarieties in every variety of class two nilpotent p-groups of finite exponent having a commutator subgroup of exponent p (p is a prime) is at most countable. It is stated that a variety of class two nilpotent groups with commutator subgroup of exponent p contains a set of semivarieties of the cardinality of the continuum.

引用

页码：389 / 399

页数：11