Generalized Rigid Metabelian Groups

Сибирский математический журнал

N. S. Romanovskii¹ 

[1] Novosibirsk State University

关键词: soluble group;    metabelian group;    divisible group;   

DOI  :  10.1134/S0037446619010166

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We study the generalized rigid groups (r-groups), in the metabelian case in more detail. The periodic r-groups are described. We prove that each divisible metabelian r-group decomposes as a semidirect product of two abelian subgroups, each metabelian r-group independently embeds into a divisible metabelian r-group, and the intersection of each collection of divisible subgroups of a metabelian r-group is divisible too.

【 授权许可】

CC BY