FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 2, PAGES 115-125

**On relatively aspherical presentations and their central extensions**

O. V. Kulikova

Abstract

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Under the condition of asphericity of a quotient group
$G/\backslash bar\; N$_{R},
mutual commutants of the form $[\backslash bar\; N$_{R},G]
in hyperbolic
groups $G$
are investigated together with the structure of central subgroups
$\backslash bar\; N$_{R}/[\bar N_{R}, G]
in central extensions $G/[\backslash bar\; N$_{R}, G] of
$G/\backslash bar\; N$_{R}.
In particular, quotients of the form $G/[gm,G]$ are
considered, where $g$ is an element of infinite
order from a hyperbolic group $G$ and $m$ is sufficiently large
(depending on $g$).

Location: http://mech.math.msu.su/~fpm/eng/k05/k052/k05208h.htm

Last modified: June 9, 2005