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Title: | Determination of genus of normal subgroups of discrete groups |
Authors: | Karpuz, Eylem Güzel Ateş, Fırat Psihoyios, G. Tsitouras, C. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 Cangül, İsmail Naci Demirci, Musa Yurttaş, Aysun AAG-8470-2021 J-3505-2017 57189022403 23566581100 37090056000 |
Keywords: | Hecke groups Permutation method Fuchsian group Signature Riemann surface Engineering Mathematics Physics |
Issue Date: | 2010 |
Publisher: | Amer Inst 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. |
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. |
URI: | https://doi.org/10.1063/1.3497859 https://aip.scitation.org/doi/abs/10.1063/1.3497859 http://hdl.handle.net/11452/28507 |
ISSN: | 0094-243X |
Appears in Collections: | Scopus Web of Science |
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