Journals / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 1
Trace Classes and Fixed Points for the Extended Modular Group \overline{G}
- Pages
- 11–19
- DOI
- —
Abstract
The extended modular group \overline{G}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group G =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{G}. Using this, we classify the elements of \overline{G}.
Özet
The extended modular group \overline{G}=PGL(2,\mathbb{Z}) is the group obtained by adding the reflection R(z)=1/\overline{z} to the generators of the modular group G =PSL(2, {Z}). In this paper, we find the trace classes of the extended modular group \overline{G}. Using this, we classify the elements of \overline{G}.