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Algebra and Discrete Mathematics, 2006, Issue 1, Pages 18–37 (Mi adm244)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Isomorphisms of Cayley graphs of surface groups

Marek Bożejkoa, Ken Dykemab, Franz Lehnerc

a Instytut Matematyczny, Uniwersytetu Wrocławckiego, pl. Grunwaldzki 2/4, P–50–384 Wroclaw, Poland
b Department of Mathematics, Texas A&M University, College Station, TX 77843–3368, USA
c Institut für Mathemtik C, Technische Universität Graz, Steyrergasse 30/3, A–8010 Graz, Austria
Full-text PDF (255 kB) Citations (2)
Abstract: A combinatorial proof is given for the fact that the Cayley graph of the fundamental group $\Gamma_g$ of the closed, orientable surface of genus $g\ge 2$ with respect to the usual generating set is isomorphic to the Cayley graph of a certain Coxeter group generated by $4g$ elements.
Keywords: Cayley graph, Coxeter group.
Bibliographic databases:
Document Type: Article
MSC: 05C25
Language: English
Citation: Marek Bożejko, Ken Dykema, Franz Lehner, “Isomorphisms of Cayley graphs of surface groups”, Algebra Discrete Math., 2006, no. 1, 18–37
Citation in format AMSBIB
\Bibitem{BozDykLeh06}
\by Marek~Bo{\.z}ejko, Ken~Dykema, Franz~Lehner
\paper Isomorphisms of Cayley graphs of surface groups
\jour Algebra Discrete Math.
\yr 2006
\issue 1
\pages 18--37
\mathnet{http://mi.mathnet.ru/adm244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2286368}
\zmath{https://zbmath.org/?q=an:1123.05047}
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  • https://www.mathnet.ru/eng/adm/y2006/i1/p18
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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