FINITE ALPERIN 2-GROUPS WITH CYCLIC SECOND COMMUTANTS

被引：5

作者：

Veretennikov, B. M. ^{[1
]}

机构：

[1] Ural State Tech Univ, Ekaterinburg 620002, Russia

来源：

ALGEBRA AND LOGIC | 2011年 / 50卷 / 03期

关键词：

2-group; Alperin group; commutant; representation of groups in terms of generators and defining relations;

D O I：

10.1007/s10469-011-9137-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An Alperin group is a group in which every 2-generated subgroup has a cyclic commutant. Previously, we constructed examples of finite Alperin 2-groups with second commutant isomorphic to Z(2) or Z(4). Here, it is proved that for any natural n, there exists a finite Alperin 2-group whose second commutant is isomorphic to Z(2n).

引用

页码：226 / 244

页数：19