电邮这篇文章 A criterion for the Fπ-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks
- 作者: Azarov D.1
-
隶属关系:
- Ivanovo State University
- 期: 卷 57, 编号 3 (2016)
- 页面: 377-384
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170436
- DOI: https://doi.org/10.1134/S0037446616030010
- ID: 170436
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详细
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.
