Complete Rewriting System and Growth Series for Extended Generalized Hecke Groups

Author(s):

Esra KIRMIZI ÇETİNALP* , Eylem GÜZEL KARPUZ , Recep ŞAHİN , Fırat ATEŞ

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we obtain a complete rewriting system for monoid presentation of generalized extended Hecke group Hp,q, which is firstly defined in [8]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group. By using the normal form structure of elements of Hp,q, we also calculate growth series.

Keywords:

Hecke groups , rewriting systems , normalform , growth series

Language:
English
Published:
Journal of Mathematical Extension, Volume:13 Issue: 4, Autumn 2019
Pages:
41 to 55
https://www.magiran.com/p2263245