The characteristic subgroups of an abelian p-group

被引：0

作者：

McLean, K. Robin ^{[1
]}

机构：

[1] Univ Liverpool, Liverpool, England

来源：

JOURNAL OF ALGEBRA | 2025年 / 663卷

关键词：

Abelian p-group; Characteristic subgroup; Fully invariant subgroup; U-sequence; Ulm invariant;

D O I：

10.1016/j.jalgebra.2024.10.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2024 Published by Elsevier Inc.

引用

页码：838 / 856

页数：19

共 50 条

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