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|Title:||Principal Congruence Subgroups of the Hecke Groups|
|Authors:||Lang, M.-L. |
|Keywords:||Principal congruence subgroups; Hecke groups|
|Source:||Lang, M.-L.,Lim, C.-H.,Tan, S.-P. (2000-12). Principal Congruence Subgroups of the Hecke Groups. Journal of Number Theory 85 (2) : 220-230. ScholarBank@NUS Repository.|
|Abstract:||Let q be an odd integer >3 and let Gq be the Hecke group associated to q. Let (τ) be a prime ideal of Z[λq] and G(q, τ) the principal congruence subgroup of Gq associated to τ. We give a formula for [Gq:G(q, τ)], the index of the principal congruence subgroup G(q, τ) in Gq. We also give formulae for the indices [G1(q, τ), G(q, τ)] and [G0(q, τ), G1(q, τ)]. Finally, we give a formula for the geometric invariants of G(q, τ) when q is a rational prime. © 2000 Academic Press.|
|Source Title:||Journal of Number Theory|
|Appears in Collections:||Staff Publications|
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