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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157374 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862741372370419712 |
|---|---|
| author | Bozejko, M. Dykema, K. Lehner, F. |
| author_facet | Bozejko, M. Dykema, K. Lehner, F. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T20:19:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157374 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:19:19Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bozejko, M. Dykema, K. Lehner, F. 2019-06-20T03:08:11Z 2019-06-20T03:08:11Z 2006 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. https://nasplib.isofts.kiev.ua/handle/123456789/157374 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. *Research partially supported by KBN grant 2PO3A00723. †Research supported
 in part by NSF grant DMS–0300336. ‡Partially supported by FWF Grant R2–MAT en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Isomorphisms of Cayley graphs of surface groups Article published earlier |
| spellingShingle | Isomorphisms of Cayley graphs of surface groups Bozejko, M. Dykema, K. Lehner, F. |
| title | 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_short | Isomorphisms of Cayley graphs of surface groups |
| title_sort | isomorphisms of cayley graphs of surface groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157374 |
| work_keys_str_mv | AT bozejkom isomorphismsofcayleygraphsofsurfacegroups AT dykemak isomorphismsofcayleygraphsofsurfacegroups AT lehnerf isomorphismsofcayleygraphsofsurfacegroups |