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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2006 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157374 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Isomorphisms of Cayley graphs of surface groups |
| spellingShingle |
Isomorphisms of Cayley graphs of surface groups Bozejko, M. Dykema, K. Lehner, F. |
| 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 |
| author |
Bozejko, M. Dykema, K. Lehner, F. |
| author_facet |
Bozejko, M. Dykema, K. Lehner, F. |
| publishDate |
2006 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT bozejkom isomorphismsofcayleygraphsofsurfacegroups AT dykemak isomorphismsofcayleygraphsofsurfacegroups AT lehnerf isomorphismsofcayleygraphsofsurfacegroups |
| first_indexed |
2025-12-07T20:19:19Z |
| last_indexed |
2025-12-07T20:19:19Z |
| _version_ |
1850882140359622656 |