Isomorphisms of Cayley graphs of surface groups

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• ISSN: 1726-3255
• Main Authors: Bozejko, M., Dykema, K., Lehner, F.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157374
• 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.

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....