Karpuz, Eylem GüzelAteş, FıratPsihoyios, G.Tsitouras, C.2022-09-072022-09-072010Cangül, İ. N. vd. (2010). "Determination of genus of normal subgroups of discrete groups". ed. G. Psihoyios, C. Tsitouras. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics, 1281(1-3), 1148-1151.0094-243Xhttps://doi.org/10.1063/1.3497859https://aip.scitation.org/doi/abs/10.1063/1.3497859http://hdl.handle.net/11452/28507Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur.In this work, subgroups of a special class of discrete subgroups of PLS(2, R), namely the ones of the first kind with genus 0, have been studied. We establish a technique to compute the genus of these subgroups in terms of the genus of easier groups. The method established here can be used for triangle groups, surface groups and Hecke groups (including the well-known modular group).eninfo:eu-repo/semantics/closedAccessHecke groupsPermutation methodFuchsian groupSignatureRiemann surfaceEngineeringMathematicsPhysicsProceedings Paper0002896615003062-s2.0-799544706061148115112811-3Engineering, multidisciplinaryMathematics, appliedPhysics, appliedPhysics, multidisciplinaryPhysics, mathematicalHecke Groups; Modular Forms; Graph