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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 1, Pages 133–137
(Mi mais291)
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This article is cited in 6 scientific papers (total in 6 papers)
On the Root-Class Residuallity of Generalized Free Products
E. A. Tumanova Ivanovo State University, Ivanovo, Russia
Abstract:
Let $\mathcal{K}$ be a root class of groups. It is proved that a free product of any family of residually $\mathcal{K}$ groups with one amalgamated subgroup, which is a retract in all free factors, is residually $\mathcal{K}$. The sufficient condition for a generalized free product of two groups to be residually $\mathcal{K}$ is also obtained, provided that the amalgamated subgroup is normal in one of the free factors and is a retract in another.
Keywords:
free product with one amalgamated subgroup, root class of groups, root-class residuallity, retract.
Received: 22.12.2012
Citation:
E. A. Tumanova, “On the Root-Class Residuallity of Generalized Free Products”, Model. Anal. Inform. Sist., 20:1 (2013), 133–137
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https://www.mathnet.ru/eng/mais291 https://www.mathnet.ru/eng/mais/v20/i1/p133
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Abstract page: | 255 | Full-text PDF : | 76 | References: | 72 |
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