Please use this identifier to cite or link to this item:
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
Citation: 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
ISSN: 0022314X
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

checked on Jan 27, 2022

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.