On the generators of the kernels of hyperbolic group presentations
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 addit...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154774 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154774 |
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dspace |
| spelling |
irk-123456789-1547742019-06-16T01:32:42Z On the generators of the kernels of hyperbolic group presentations Chaynikov, V. 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. 2011 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Chaynikov, V. |
| spellingShingle |
Chaynikov, V. On the generators of the kernels of hyperbolic group presentations Algebra and Discrete Mathematics |
| author_facet |
Chaynikov, V. |
| author_sort |
Chaynikov, V. |
| title |
On the generators of the kernels of hyperbolic group presentations |
| title_short |
On the generators of the kernels of hyperbolic group presentations |
| title_full |
On the generators of the kernels of hyperbolic group presentations |
| title_fullStr |
On the generators of the kernels of hyperbolic group presentations |
| title_full_unstemmed |
On the generators of the kernels of hyperbolic group presentations |
| title_sort |
on the generators of the kernels of hyperbolic group presentations |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154774 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT chaynikovv onthegeneratorsofthekernelsofhyperbolicgrouppresentations |
| first_indexed |
2023-05-20T17:45:21Z |
| last_indexed |
2023-05-20T17:45:21Z |
| _version_ |
1796154011848540160 |