Enviar artigo por via de e-mail Sufficient conditions for the root-class residuality of certain generalized free products
- Autores: Sokolov E.V.1, Tumanova E.A.1
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Afiliações:
- Ivanovo State University
- Edição: Volume 57, Nº 1 (2016)
- Páginas: 135-144
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170336
- DOI: https://doi.org/10.1134/S0037446616010134
- ID: 170336
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Resumo
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.
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Sobre autores
E. Sokolov
Ivanovo State University
Autor responsável pela correspondência
Email: ev-sokolov@yandex.ru
Rússia, Ivanovo
E. Tumanova
Ivanovo State University
Email: ev-sokolov@yandex.ru
Rússia, Ivanovo
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