A criterion for the Fπ-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks
- Authors: Azarov D.N.1
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Affiliations:
- Ivanovo State University
- Issue: Vol 57, No 3 (2016)
- Pages: 377-384
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170436
- DOI: https://doi.org/10.1134/S0037446616030010
- ID: 170436
Cite item
Abstract
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.
About the authors
D. N. Azarov
Ivanovo State University
Author for correspondence.
Email: azarovdn@mail.ru
Russian Federation, Ivanovo