A criterion for the Fπ-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks
- Autores: Azarov D.1
-
Afiliações:
- Ivanovo State University
- Edição: Volume 57, Nº 3 (2016)
- Páginas: 377-384
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170436
- DOI: https://doi.org/10.1134/S0037446616030010
- ID: 170436
Citar
Resumo
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.
Palavras-chave
Sobre autores
D. Azarov
Ivanovo State University
Autor responsável pela correspondência
Email: azarovdn@mail.ru
Rússia, Ivanovo
![](/img/style/loading.gif)