On computing finite index subgroups of PSL2(Z)

被引：0

作者：

Uruburu, Nicolas Mayorga ^{[1
]}

Pacetti, Ariel ^{[2
]}

Vendramin, Leandro ^{[3
]}

机构：

[1] Univ Nacl Cordoba, FAMAF CIEM, RA-5000 Cordoba, Argentina

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[3] Vrije Univ Brussel, Dept Math, Pl Laan 2, B-1050 Brussels, Belgium

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Bi-valent graphs; subgroups of the modular group;

D O I：

10.1142/S0219498825502159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a method to compute finite index subgroups of PSL2(Z). Our strategy follows Kulkarni's ideas, the main contribution being a recursive method to compute bivalent trees as well as their automorphism groups. As a concrete application, we compute all subgroups of index up to 20. We then use this database to produce tables with several arithmetical properties.

引用

页数：42

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