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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 7, Pages 187–199 (Mi fpm1464)  
This article is cited in 7 scientific papers (total in 7 papers)

On convex subgroups of groups with the interpolation property

E. E. Shirshova

Moscow State Pedagogical University
Full-text PDF (149 kB) Citations (7)
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Abstract: Characteristics of groups with the interpolation relation (not necessarily directed) are considered. A necessary and sufficient condition for a partially ordered group to be an interpolation group is obtained. An almost orthogonality criterion for positive elements of an interpolation group is proved. Characteristics of minimal convex directed subgroups containing almost orthogonal elements are described. Properties of convex directed subgroups in the subclass of interpolation groups in which each element is a quotient of two almost orthogonal elements are investigated.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 197, Issue 4, Pages 573–581
DOI: https://doi.org/10.1007/s10958-014-1736-z
Bibliographic databases:
Document Type: Article
UDC: 512.545
Language: Russian
Citation: E. E. Shirshova, “On convex subgroups of groups with the interpolation property”, Fundam. Prikl. Mat., 17:7 (2012), 187–199; J. Math. Sci., 197:4 (2014), 573–581
Citation in format AMSBIB
\Bibitem{Shi12}
\by E.~E.~Shirshova
\paper On convex subgroups of groups with the interpolation property
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 7
\pages 187--199
\mathnet{http://mi.mathnet.ru/fpm1464}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 197
\issue 4
\pages 573--581
\crossref{https://doi.org/10.1007/s10958-014-1736-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893931465}
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  • https://www.mathnet.ru/eng/fpm/v17/i7/p187
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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