Abstract
AbstractLet G be a subgroup of PSL(2, R) which is commensurable with PSL(2, Z). We say that G is a congruence subgroup of PSL(2, R) if G contains a principal congruence subgroup /overline Γ(N) for some N. An algorithm is given for determining whether two congruence subgroups are conjugate in PSL(2, R). This algorithm is used to determine the PSL(2, R) conjugacy classes of congruence subgroups of genus-zero and genus-one. The results are given in a table.
Subject
Computational Theory and Mathematics,General Mathematics
Reference10 articles.
1. A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group;Zograf;J. Reine Angew. Math.,1991
2. The Magma Algebra System I: The User Language
3. Genera of congruence subgroups in Q-quaternion algebras;Cox;J. Reine Angew. Math.,1984
4. 4. Cox David A. and Parry Walter R. , ‘Genera of congruence subgroups in Q-quaternion algebras.’ Unabridge preprint.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献