Email this article Sufficient conditions for the root-class residuality of certain generalized free products
- Authors: Sokolov E.V.1, Tumanova E.A.1
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Affiliations:
- Ivanovo State University
- Issue: Vol 57, No 1 (2016)
- Pages: 135-144
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170336
- DOI: https://doi.org/10.1134/S0037446616010134
- ID: 170336
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Abstract
Given a class K of groups, we prove that the free product of a K -group A and a residually K -group B with amalgamated subgroup which is a retract of B is a residually K -group. We also obtain a sufficient condition for the root-class residuality of a generalized free product of two residually K -groups with amalgamated subgroup which is a retract of one of the factors.
About the authors
E. V. Sokolov
Ivanovo State University
Author for correspondence.
Email: ev-sokolov@yandex.ru
Russian Federation, Ivanovo
E. A. Tumanova
Ivanovo State University
Email: ev-sokolov@yandex.ru
Russian Federation, Ivanovo
