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Modelirovanie i Analiz Informatsionnykh Sistem, 2013, Volume 20, Number 1, Pages 133–137 (Mi mais291)  

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
Full-text PDF (284 kB) Citations (6)
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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
Document Type: Article
UDC: 512.543
Language: Russian
Citation: E. A. Tumanova, “On the Root-Class Residuallity of Generalized Free Products”, Model. Anal. Inform. Sist., 20:1 (2013), 133–137
Citation in format AMSBIB
\Bibitem{Tum13}
\by E.~A.~Tumanova
\paper On the Root-Class Residuallity of Generalized Free Products
\jour Model. Anal. Inform. Sist.
\yr 2013
\vol 20
\issue 1
\pages 133--137
\mathnet{http://mi.mathnet.ru/mais291}
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  • https://www.mathnet.ru/eng/mais/v20/i1/p133
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Моделирование и анализ информационных систем
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