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Generalized Rigid Metabelian Groups Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2019, Том: 60, Номер: 1, Страницы: 148-152 Страниц : 5 DOI: 10.1134/S0037446619010166

Ключевые слова

divisible group; metabelian group; soluble group

Авторы

Romanovskii N.S. ^1,2

Организации

1	Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russian Federation
2	Novosibirsk State University

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.

Romanovskii N.S.
Generalized Rigid Metabelian Groups
Siberian Mathematical Journal. 2019. V.60. N1. P.148-152. DOI: 10.1134/S0037446619010166 WOS Scopus OpenAlex

Web of science:	WOS:000464720000016
Scopus:	2-s2.0-85065226122
OpenAlex:	W2938393928

БД	Цитирований
Scopus	4
OpenAlex	5
Web of science	4