MMN-1214
Power subgroups of the extended Hecke groups
Zehra Sarigedik; Sebahattin Ikikardes; Recep Sahin;Abstract
We consider the extended Hecke groups H(λ_{q}) generated by T(z)=-1 / z, S(z)=-1/(z+λ_{q}) and R(z)=1/ z with λ_{q}=2cos(π/q) for q≥3 integer. In this article, we study the abstract group structures of the power subgroups H^{m}(λ_{q}) of H(λ_{q}) for each positive integer m. Then, we give the relations between commutator subgroups and power subgroups.
Vol. 16 (2015), No. 1, pp. 483-490
DOI: 10.18514/MMN.2015.1214