仅存在一个无限子群的无限Abel群  

Infinite Abel Groups Having Only One Infinite Subgroup

作　　者：邓奇 李诺 

机构地区：[1]云南师范大学数学学院,云南 昆明

出　　处：《理论数学》2021年第1期37-40,共4页Pure Mathematics

摘　　要：本文我们研究一类无限Abel群,它仅有一个无限子群,即这个群本身。本文首先讨论了这种Abel群的结构和性质,然后给出和这种群有关的两个定理,及相应的证明。In this paper, we study a class of infinite Abel group, which has only one infinite subgroup, that is, the group itself. Here we first discuss the structure and properties of this Abel group, and then give two theorems related to this group, and the corresponding proofs of the theorems.

关 键 词：同构 循环P-群 无限群 有限子群 

分 类 号：O15[理学—数学]