On Dominions of the Rationals in Nilpotent Groups
- Авторлар: Budkin A.1
-
Мекемелер:
- Altai State University
- Шығарылым: Том 59, № 4 (2018)
- Беттер: 598-609
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171943
- DOI: https://doi.org/10.1134/S0037446618040031
- ID: 171943
Дәйексөз келтіру
Аннотация
The dominion of a subgroup H of a group G in a class M is the set of all a ∈ G that have the same images under every pair of homomorphisms, coinciding on H from G to a group in M. A group H is n-closed in M if for every group G = gr(H, a1,..., an) in M that includes H and is generated modulo H by some n elements, the dominion of H in G (in M) is equal to H. We prove that the additive group of the rationals is 2-closed in every quasivariety of torsion-free nilpotent groups of class at most 3.
Негізгі сөздер
Авторлар туралы
A. Budkin
Altai State University
Хат алмасуға жауапты Автор.
Email: budkin@math.asu.ru
Ресей, Barnaul