Conjugacy classes of extended generalized Hecke groups

• Bilal Demir ^[1] ; Özden Koruoglu ^[1] ; Recep Sahin ^[1]
  1. [1] Balıkesir University

     Balıkesir University

     Turquía

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 57, Nº. 1, 2016, págs. 49-56
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.