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 |
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| 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| Summary: | 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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| ISSN: | 1726-3255 |