Ein Untergruppensatz für modulare Gruppen.
Ragnar Rudolph (1982)
Monatshefte für Mathematik
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Ragnar Rudolph (1982)
Monatshefte für Mathematik
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Morris Newman (1974)
Mathematische Annalen
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Said Sidki (1971)
Monatshefte für Mathematik
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Ulrich Christian (1961)
Monatshefte für Mathematik
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Francesco de Giovanni, Carmela Musella (2001)
Colloquium Mathematicae
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A subgroup H of a group G is nearly normal if it has finite index in its normal closure . A relevant theorem of B. H. Neumann states that groups in which every subgroup is nearly normal are precisely those with finite commutator subgroup. We shall say that a subgroup H of a group G is nearly modular if H has finite index in a modular element of the lattice of subgroups of G. Thus nearly modular subgroups are the natural lattice-theoretic translation of nearly normal subgroups. In this...
D. Choi (2006)
Acta Arithmetica
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Bumkyu Cho, SoYoung Choi, Chang Heon Kim (2013)
Acta Arithmetica
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We extend Guerzhoy's Maass-modular grids on the full modular group SL₂(ℤ) to congruence subgroups Γ₀(N) and Γ₀⁺(p).
Christian Ulrich (1983)
Monatshefte für Mathematik
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Bo-Hae Im, Daeyeol Jeon, Chang Heon Kim (2017)
Open Mathematics
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For a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.
Irene Zimmermann (1989)
Mathematische Zeitschrift
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Claudio Nebbia (1989)
Monatshefte für Mathematik
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Hidegoro Nakano (1968)
Studia Mathematica
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Heima Hayashi (2006)
Acta Arithmetica
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(2013)
Acta Arithmetica
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The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.
R.A. Rankin (1967)
Mathematische Annalen
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A. Derighetti, J. Delaporte (1995)
Monatshefte für Mathematik
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Besser, Amnon (1997)
Documenta Mathematica
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