The characteristic subgroups of an abelian p-group

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-10-09 DOI:10.1016/j.jalgebra.2024.10.001

K. Robin McLean

引用次数: 0

Abstract

We describe the characteristic subgroups of a transitive abelian 2-group, thus completing Kaplansky's study in section 18 of his classic monograph Infinite abelian groups. This appears to be a new result even for finite abelian 2-groups.

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无性 p 群的特征子群

我们描述了反式无边 2 群的特征子群，从而完成了卡普兰斯基在其经典专著《无限无边群》第 18 节中的研究。即使对于有限无边 2 群，这似乎也是一个新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.