Trace Classes and Fixed Points for the Extended Modular Group \overline{\Gamma}

Authors: ÖZDEN KORUOĞLU, RECEP ŞAHİN, SEBAHATTİN İKİKARDEŞ

Abstract: The extended modular group \overline{\Gamma}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group \Gamma =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{\Gamma}. Using this, we classify the elements of \overline{\Gamma}.

Keywords: Extended modular group, trace class, fixed points

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