Finite alperin 2-groups with cyclic second commutants

被引：0
|
作者：
B. M. Veretennikov
机构：
[1] Ural State Technical University,
来源：
Algebra and Logic | 2011年 / 50卷
关键词：
2-group; Alperin group; commutant; representation of groups in terms of generators and defining relations;
D O I：
暂无
中图分类号：
学科分类号：
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 Z2 or Z4. Here, it is proved that for any natural n, there exists a finite Alperin 2-group whose second commutant is isomorphic to Z2n.
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页码：226 / 244
页数：18
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