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
收藏
页码：838 / 856
页数：19
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