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Fundam. Prikl. Mat., 2005, Volume 11, Issue 2, Pages 115–125 (Mi fpm815)  

On relatively aspherical presentations and their central extensions

O. V. Kulikova

M. V. Lomonosov Moscow State University

Abstract: Under the condition of asphericity of a quotient group $G/\bar N_R$, mutual commutants of the form $[\bar N_R, G]$ in hyperbolic groups $G$ are investigated together with the structure of central subgroups $\bar N_R/[\bar N_R, G]$ in central extensions $G/[\bar N_R, G]$ of $G/\bar N_R$. In particular, quotients of the form $G/[g^m,G]$ are considered, where $g$ is an element of infinite order from a hyperbolic group $G$ and $m$ is sufficiently large (depending on $g$).

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English version:
Journal of Mathematical Sciences (New York), 2007, 142:2, 1942–1948

Bibliographic databases:

UDC: 512.543

Citation: O. V. Kulikova, “On relatively aspherical presentations and their central extensions”, Fundam. Prikl. Mat., 11:2 (2005), 115–125; J. Math. Sci., 142:2 (2007), 1942–1948

Citation in format AMSBIB
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\by O.~V.~Kulikova
\paper On relatively aspherical presentations and their central extensions
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 115--125
\mathnet{http://mi.mathnet.ru/fpm815}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2157933}
\zmath{https://zbmath.org/?q=an:1073.20027}
\elib{https://elibrary.ru/item.asp?id=9068342}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 142
\issue 2
\pages 1942--1948
\crossref{https://doi.org/10.1007/s10958-007-0101-x}
\elib{https://elibrary.ru/item.asp?id=13548521}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947387137}


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  • Фундаментальная и прикладная математика
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