Isomorphisms of Cayley graphs of surface groups
A combinatorial proof is given for the fact that the Cayley graph of the fundamental group Γg of the closed, orientable surface of genus g ≥ 2 with respect to the usual generating set is isomorphic to the Cayley graph of a certain Coxeter group generated by 4g elements.
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| Дата: | 2006 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Isomorphisms of Cayley graphs of surface groups / M. Bozejko, K. Dykema, F. Lehner // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 18–36. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157374 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1573742019-06-22T01:26:25Z Isomorphisms of Cayley graphs of surface groups Bozejko, M. Dykema, K. Lehner, F. A combinatorial proof is given for the fact that the Cayley graph of the fundamental group Γg of the closed, orientable surface of genus g ≥ 2 with respect to the usual generating set is isomorphic to the Cayley graph of a certain Coxeter group generated by 4g elements. 2006 Article Isomorphisms of Cayley graphs of surface groups / M. Bozejko, K. Dykema, F. Lehner // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 18–36. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 05C25. http://dspace.nbuv.gov.ua/handle/123456789/157374 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 |
A combinatorial proof is given for the fact that
the Cayley graph of the fundamental group Γg of the closed, orientable surface of genus g ≥ 2 with respect to the usual generating
set is isomorphic to the Cayley graph of a certain Coxeter group
generated by 4g elements. |
| format |
Article |
| author |
Bozejko, M. Dykema, K. Lehner, F. |
| spellingShingle |
Bozejko, M. Dykema, K. Lehner, F. Isomorphisms of Cayley graphs of surface groups Algebra and Discrete Mathematics |
| author_facet |
Bozejko, M. Dykema, K. Lehner, F. |
| author_sort |
Bozejko, M. |
| title |
Isomorphisms of Cayley graphs of surface groups |
| title_short |
Isomorphisms of Cayley graphs of surface groups |
| title_full |
Isomorphisms of Cayley graphs of surface groups |
| title_fullStr |
Isomorphisms of Cayley graphs of surface groups |
| title_full_unstemmed |
Isomorphisms of Cayley graphs of surface groups |
| title_sort |
isomorphisms of cayley graphs of surface groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157374 |
| citation_txt |
Isomorphisms of Cayley graphs of surface groups / M. Bozejko, K. Dykema, F. Lehner // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 18–36. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bozejkom isomorphismsofcayleygraphsofsurfacegroups AT dykemak isomorphismsofcayleygraphsofsurfacegroups AT lehnerf isomorphismsofcayleygraphsofsurfacegroups |
| first_indexed |
2023-05-20T17:51:51Z |
| last_indexed |
2023-05-20T17:51:51Z |
| _version_ |
1796154268052357120 |