Generalized Rigid Metabelian Groups
- Авторлар: Romanovskii N.1
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Мекемелер:
- Sobolev Institute of Mathematics
- Шығарылым: Том 60, № 1 (2019)
- Беттер: 148-152
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172255
- DOI: https://doi.org/10.1134/S0037446619010166
- ID: 172255
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
N. Romanovskii
Sobolev Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: rmnvski@math.nsc.ru
Ресей, Novosibirsk