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Determination of genus of normal subgroups of discrete groups
Conference proceeding   Peer reviewed

Determination of genus of normal subgroups of discrete groups

İsmail Naci Cangül, Musa Demirci, Aysun Yurttaş, Eylem Güzel Karpuz and Fırat Ateş
2010

Abstract

Fuchsian Group Hecke Groups Permutation Method Riemann Surface Signature
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).

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