The Determination of Parabolic Points in Modular and Extended Modular Groups by Continued Fractions
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3
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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.
Classification :
20H10, 11F06, 11Y65.
@article{BMMS_2010_33_3_a9,
author = {\"Ozden Koruoglu},
title = {The {Determination} of {Parabolic} {Points} in {Modular} and {Extended} {Modular} {Groups} by {Continued} {Fractions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2010},
volume = {33},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a9/}
}
Özden Koruoglu. The Determination of Parabolic Points in Modular and Extended Modular Groups by Continued Fractions. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a9/