Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 115-125
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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/
@article{FPM_2005_11_2_a7,
author = {O. V. Kulikova},
title = {On relatively aspherical presentations and their central extensions},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {115--125},
year = {2005},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a7/}
}
TY - JOUR
AU - O. V. Kulikova
TI - On relatively aspherical presentations and their central extensions
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2005
SP - 115
EP - 125
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a7/
LA - ru
ID - FPM_2005_11_2_a7
ER -
%0 Journal Article
%A O. V. Kulikova
%T On relatively aspherical presentations and their central extensions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 115-125
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a7/
%G ru
%F FPM_2005_11_2_a7
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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[5] Kulikova O. V., “On intersections of normal subgroups in groups”, Algebra Discrete Math., 2004, no. 4, 32–47 | MR | Zbl
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