Generalized Rigid Metabelian Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2019, Volume: 60, Number: 1, Pages: 148-152 Pages count : 5 DOI: 10.1134/S0037446619010166 | ||||
| Tags | divisible group; metabelian group; soluble group | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
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. © 2019, Pleiades Publishing, Ltd.
Cite:
Romanovskii N.S.
Generalized Rigid Metabelian Groups
Siberian Mathematical Journal. 2019. V.60. N1. P.148-152. DOI: 10.1134/S0037446619010166 WOS Scopus OpenAlex
Generalized Rigid Metabelian Groups
Siberian Mathematical Journal. 2019. V.60. N1. P.148-152. DOI: 10.1134/S0037446619010166 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000464720000016 |
| Scopus: | 2-s2.0-85065226122 |
| OpenAlex: | W2938393928 |