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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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Bibliographic Details
Main Authors: Bozejko, M., Dykema, K., Lehner, F.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2006
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157374
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