Geodesic
On relatively aspherical presentations and their central extensions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 115-125
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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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     author = {O. V. Kulikova},
     title = {On relatively aspherical presentations and their central extensions},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a7/}
}
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O. V. Kulikova. On relatively aspherical presentations and their central extensions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 115-125. http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a7/

[1] Olshanskii A. Yu., Geometriya opredelyayuschikh sootnoshenii v gruppakh, Nauka, M., 1989 | MR

[2] Olshanskii A. Yu., “$SQ$-universalnost giperbolicheskikh grupp”, Mat. sb., 186:8 (1995), 119–133 | MR

[3] Bogley W. A., Pride S. J., “Aspherical relative presentations”, Proc. Edinburgh Math. Soc. II ser, 35:1 (1992), 1–39 | DOI | MR | Zbl

[4] Gromov M., “Hyperbolic groups”, Essays in Group Theory, M.S.R.T., 8ed. . S. M. Gersten, Springer, 1987, 75–263 | MR

[5] Kulikova O. V., “On intersections of normal subgroups in groups”, Algebra Discrete Math., 2004, no. 4, 32–47 | MR | Zbl

[6] Ol'shanskii A. Yu., “On residualing homomorphisms and $G$-subgroups of hyperbolic groups”, Internat. J. Algebra Comput., 3:4 (1993), 365–409 | DOI | MR