This article is cited in 1 paper

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 $g$).

UDC: 512.543

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

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