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On the generators of the kernels of hyperbolic group presentations

Vernadsky National Library of Ukraine

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Title On the generators of the kernels of hyperbolic group presentations
 
Creator Chaynikov, V.
 
Description 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.
 
Date 2019-06-15T20:45:02Z
2019-06-15T20:45:02Z
2011
 
Type Article
 
Identifier 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.
1726-3255
2000 Mathematics Subject Classification:20F67, 20F06.
http://dspace.nbuv.gov.ua/handle/123456789/154774
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України