Generalized Rigid Metabelian Groups
- 作者: Romanovskii N.S.1
- 
							隶属关系: 
							- Sobolev Institute of Mathematics
 
- 期: 卷 60, 编号 1 (2019)
- 页面: 148-152
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172255
- DOI: https://doi.org/10.1134/S0037446619010166
- ID: 172255
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详细
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.
作者简介
N. Romanovskii
Sobolev Institute of Mathematics
							编辑信件的主要联系方式.
							Email: rmnvski@math.nsc.ru
				                					                																			                												                	俄罗斯联邦, 							Novosibirsk						
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