Modular Frobenius Groups.
E.B. Kuisch, Robert W. van der Waall (1996)
Manuscripta mathematica
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E.B. Kuisch, Robert W. van der Waall (1996)
Manuscripta mathematica
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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.
M. De Falco, F. de Giovanni, C. Musella, R. Schmidt (2003)
Colloquium Mathematicae
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A group G is called metamodular if for each subgroup H of G either the subgroup lattice 𝔏(H) is modular or H is a modular element of the lattice 𝔏(G). Metamodular groups appear as the natural lattice analogues of groups in which every non-abelian subgroup is normal; these latter groups have been studied by Romalis and Sesekin, and here their results are extended to metamodular groups.
H. J. Borchers (1995)
Annales de l'I.H.P. Physique théorique
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Masataka Chida (2005)
Acta Arithmetica
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Heima Hayashi (2006)
Acta Arithmetica
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D. Choi (2006)
Acta Arithmetica
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Wissam Raji (2007)
Acta Arithmetica
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Konovalov, Alexander B. (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Nondas Kechagias (1994)
Manuscripta mathematica
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Hidegoro Nakano (1968)
Studia Mathematica
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Besser, Amnon (1997)
Documenta Mathematica
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Daniele Guido (1995)
Annales de l'I.H.P. Physique théorique
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Inder Bir S. Passi, Sudarshan Sehgal (1972)
Mathematische Zeitschrift
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