•  
  •  
 

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

Included in

Mathematics Commons

Share

COinS