On parabolic and elliptic elements of the modular group

Demir, Bilal; Koruoğlu, Özden

dc.contributor.author	Demir, Bilal
dc.contributor.author	Koruoğlu, Özden
dc.date.accessioned	2023-12-29T13:19:23Z
dc.date.available	2023-12-29T13:19:23Z
dc.date.issued	2022	en_US
dc.identifier.issn	1300-0098 / 1303-6149
dc.identifier.uri	https://doi.org/10.55730/1300-0098.3299
dc.identifier.uri	https://hdl.handle.net/20.500.12462/13715
dc.description.abstract	The modular group Gamma = PSL(2, Z) is isomorphic to the free product of two cyclic groups of orders 2 and 3. In this paper, we give a necessary and sufficient condition for the existence of elliptic and parabolic elements in Gamma with a given cusp point. Then we give an algorithm to obtain such elements in words of generators using continued fractions and paths in the Farey graph.	en_US
dc.language.iso	eng	en_US
dc.publisher	Scientific and Technological Research Council Turkey	en_US
dc.relation.isversionof	10.55730/1300-0098.3299	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/us/	*
dc.subject	Modular Group	en_US
dc.subject	Continued Fractions	en_US
dc.subject	Farey Graph	en_US
dc.title	On parabolic and elliptic elements of the modular group	en_US
dc.type	article	en_US
dc.relation.journal	Turkish Journal of Mathematics	en_US
dc.contributor.department	Necatibey Eğitim Fakültesi	en_US
dc.contributor.authorID	0000-0002-6638-6909	en_US
dc.contributor.authorID	0000-0002-9622-4847	en_US
dc.identifier.volume	46	en_US
dc.identifier.issue	7	en_US
dc.identifier.startpage	2751	en_US
dc.identifier.endpage	2760	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US