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Title: Congruence subgroups associated to the monster
Authors: Chua, K.S.
Lang, M.L. 
Keywords: Congruence subgroups
Monster simple group
Issue Date: 2004
Citation: Chua, K.S.,Lang, M.L. (2004). Congruence subgroups associated to the monster. Experimental Mathematics 13 (3) : 343-360. ScholarBank@NUS Repository.
Abstract: Let Δ = {G : g(G) = 0,Γ0(m) ≤ G ≤ N(Γ0(m)) for some m}, where N(Γ0(m)) is the normaliser of Γ0(m) in PSL2(ℝ) and g(G) is the genus of ℍ*/G. In this article, we determine all the m. Further, for each m, we list all the intermediate groups G of Γ0(m) ≤ N(Γ0(m)) such that g(G) - 0. All the intermediate groups of width 1 at ∞ are also listed in a separate table (see ~matlml/).
Source Title: Experimental Mathematics
ISSN: 10586458
Appears in Collections:Staff Publications

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