期刊论文详细信息
Сибирский математический журнал | |
Generalized Rigid Metabelian Groups | |
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
【 预 览 】
Files | Size | Format | View |
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RO201910258107474ZK.pdf | 125KB | download |