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/\bar NR, mutual commutants of the form [\bar NR,G] in hyperbolic groups G are investigated together with the structure of central subgroups \bar NR/[\bar NR, G] in central extensions G/[\bar NR, G] of G/\bar NR. 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).

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