Marek Bożejko, Ken Dykema, Franz Lehner, “Isomorphisms of Cayley graphs of surface groups”, Algebra Discrete Math., 2006, выпуск 1,страницы 18

Эта публикация цитируется в 2 статьях

RESEARCH ARTICLE

Isomorphisms of Cayley graphs of surface groups

Marek Bożejko^a, Ken Dykema^b, Franz Lehner^c

^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

Аннотация: 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.

Ключевые слова: Cayley graph, Coxeter group.

MSC: 05C25

Язык публикации: английский