Turkish Journal of Mathematics
DOI
-
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
First Page
11
Last Page
19
Recommended Citation
KORUOĞLU, ÖZDEN; ŞAHİN, RECEP; and İKİKARDEŞ, SEBAHATTİN (2008) "Trace Classes and Fixed Points for the Extended Modular Group \overline{\Gamma}," Turkish Journal of Mathematics: Vol. 32: No. 1, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol32/iss1/2