On Extension of the Modular Transformations over the Modular Group by Reflection

Abstract

In the study considering the modular group conditions the generations of the inhomogeneous modular transformations extended by reflection has been researched and theorem concerning generations of the modular group is proved with a different method. In addition, the fundamental of the inhomogeneous modular transformations by new defined transformations were established. (C) 2003 Elsevier Inc. All rights reserved.