Makale detayı · 2022
On parabolic and elliptic elements of the modular group
Turkish Journal of Mathematics
YÖKSİS
OpenAlex
Açık erişim · diamond
SJR Q2
JCR Q2
TR Index
Atıf 1
Yüzdelik 47.0%
FWCI 0.13
- Yıl
- 2022
- ISSN
1300-0098- Tür
- article
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Özet
İngilizce (OpenAlex)
The modular group $\Gamma=PSL(2, \mathbf{Z})$ 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.
Konular
- semigroups and automata theory
- Mathematical Dynamics and Fractals
- Geometric and Algebraic Topology
Birincil konu semigroups and automata theory