Title of article
THE IMAGES UNDER THE MODULAR GROUP AND EXTENDED MODULAR GROUP
Author/Authors
köroğlu, özden Balıkesir University - Necatibey Faculty of Education, Turkey
From page
15
To page
20
Abstract
In this paper we obtain the image of each element of C under the modular and extended modular group by continued fractions. The modular group takes the upper half of the complex plane into itself. Using these images, unlike known methods, we can show that the extended modular group takes the upper half of the complex plane into H.
Keywords
Modular group , Extended modular group , Continued fraction , Upper half plane
Journal title
Hacettepe Journal Of Mathematics and Statistics
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650195
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