Complete Rewriting System and Growth Series for Extended Generalized Hecke Groups
DOI:
https://doi.org/10.30495/jme.v13i0.874Keywords:
Hecke groups, rewriting systems, normal form, growth seriesAbstract
In this paper we obtain a complete rewriting system for monoid presentation of generalized extended Hecke group $\overline{H}_{p,q}$, which is firstly defined in \cite {DKR1}. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group. Byusing the normal form structure of elements of $\overline{H}_{p,q}$, we also calculate growth seriesDownloads
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