Volume 33 • Number 3 • 2010   • The Determination of Parabolic Points in Modular and Extended Modular Groups by Continued Fractions Özden Koruoglu Abstract. The modular group is generated by two fractional transformations and . The extended modular group is the group obtained by adding the reflection to the generators of the modular group . In this study, we calculate the parabolic points of any given element of the modular and the extended modular groups by simple continued fractions and blocks. 2010 Mathematics Subject Classification: 20H10, 11F06, 11Y65. Full text: PDF