On the generators of the kernels of hyperbolic group presentations
Vernadsky National Library of Ukraine
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
On the generators of the kernels of hyperbolic group presentations
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Creator |
Chaynikov, V.
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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.
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Date |
2019-06-15T20:45:02Z
2019-06-15T20:45:02Z 2011 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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