Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103972
Title: Principal Congruence Subgroups of the Hecke Groups
Authors: Lang, M.-L. 
Lim, C.-H. 
Tan, S.-P. 
Keywords: Principal congruence subgroups; Hecke groups
Issue Date: Dec-2000
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
URI: http://scholarbank.nus.edu.sg/handle/10635/103972
ISSN: 0022314X
Appears in Collections:Staff Publications

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