Determination of genus of normal subgroups of discrete groups
Date
2010
Authors
Karpuz, Eylem Güzel
Ateş, Fırat
Psihoyios, G.
Tsitouras, C.
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
Abstract
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).
Description
Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur.
Keywords
Hecke groups, Permutation method, Fuchsian group, Signature, Riemann surface, Engineering, Mathematics, Physics
Citation
Cangül, 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.