@article{article_524528, title={Some normal subgroups of extended generalized Hecke groups}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={45}, pages={1023–1032}, year={2016}, author={Demir, Bilal and Koruoğlu, Özden and Şahin, Recep}, keywords={Generalized Hecke groups,Extended generalized Hecke groups,Commutator subgroups,Power subgroups}, abstract={<p>Generalized Hecke group H p,∞ (λ) is generated by X(z) = −(z − λ p ) −1 <br />and Y (z) = −(z + λ) −1 where λ p = 2 cos πp , p ≥ 2 integer and λ ≥ 2 . <br />Extended generalized Hecke group H p,∞ (λ) is obtained by adding the <br />reection R(z) = 1/z to the generators of generalized Hecke group <br />H p,∞ (λ). In this paper, we study the commutator subgroups of ex- <br />tended generalized Hecke groups H p,∞ (λ). Also, we determine the <br />power subgroups of generalized Hecke groups H p,∞ (λ) and extended <br />generalized Hecke groups H p,∞ (λ) . <br /> </p>}, number={4}, publisher={Hacettepe University}