A criterion for the Fπ-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks
- Авторлар: Azarov D.1
-
Мекемелер:
- Ivanovo State University
- Шығарылым: Том 57, № 3 (2016)
- Беттер: 377-384
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170436
- DOI: https://doi.org/10.1134/S0037446616030010
- ID: 170436
Дәйексөз келтіру
Аннотация
Let G be the free product of nilpotent groups A and B of finite rank with amalgamated cyclic subgroup H, H ≠ A and H ≠ B. Suppose that, for some set π of primes, the groups A and B are residually Fπ, where Fπ is the class of all finite p-groups. We prove that G is residually Fπ if and only if H is Fπ-separable in A and B.
Негізгі сөздер
Авторлар туралы
D. Azarov
Ivanovo State University
Хат алмасуға жауапты Автор.
Email: azarovdn@mail.ru
Ресей, Ivanovo