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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 2, Pages 18–50
(Mi adm9)
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This article is cited in 3 scientific papers (total in 3 papers)
RESEARCH ARTICLE
On the generators of the kernels of hyperbolic group presentations
Vladimir Chaynikov Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, TN 37240
Abstract:
In this paper we prove that if $\mathcal R$ is a (not necessarily finite) set of words satisfying certain small cancellation condition in a hyperbolic group $G$ then the normal closure of $\mathcal R$ is free. This result was first presented (for finite set $\mathcal R$) by T. Delzant [Delz] but the proof seems to require some additional argument. New applications of this theorem are provided.
Keywords:
hyperbolic groups, small cancellation.
Received: 12.11.2010 Revised: 12.11.2010
Citation:
Vladimir Chaynikov, “On the generators of the kernels of hyperbolic group presentations”, Algebra Discrete Math., 11:2 (2011), 18–50
Linking options:
https://www.mathnet.ru/eng/adm9 https://www.mathnet.ru/eng/adm/v11/i2/p18
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Abstract page: | 285 | Full-text PDF : | 127 | References: | 48 | First page: | 1 |
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