Resumen de Conjugacy classes of extended generalized Hecke groups

Bilal Demir, Özden Koruoglu, Recep Sahin

• Generalized Hecke groups Hp,q are generated by X(z)=−(z−λp)−1 and Y(z)=−(z+λq)−1, here λp=2cosπp , λq=2cosπq, p,q are integers such that 2≤p≤q, p+q>4. Extended generalized Hecke groups ¯¯¯¯¯Hp,q are obtained by adding the reflection R(z)=1/¯¯¯z to the generators of generalized Hecke groups Hp,q. We determine the conjugacy classes of the torsion elements in extended generalized Hecke groups ¯¯¯¯¯Hp,q.