On the generators of the kernels of hyperbolic group presentations

dc.contributor.author	Chaynikov, V.
dc.date.accessioned	2019-06-15T20:45:02Z
dc.date.available	2019-06-15T20:45:02Z
dc.date.issued	2011
dc.identifier.citation	On the generators of the kernels of hyperbolic group presentations / V. Chaynikov// Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 18–50. — Бібліогр.: 11 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:20F67, 20F06.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154774
dc.description.abstract	In this paper we prove that if R is a (not necessarily finite) set of words satisfying certain small cancellation condition in a hyperbolic group G then the normal closure of R is free. This result was first presented (for finite set R) by T. Delzant [Delz] but the proof seems to require some additional argument. New applications of this theorem are provided.	uk_UA
dc.description.sponsorship	The author is grateful to Aleksander Olshanskii for his guidance and many valuablesuggestions and to Denis Osin for his comments	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the generators of the kernels of hyperbolic group presentations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA