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;

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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.

引用

页码：226 / 244

页数：18