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Displaying similar documents to “The modular characters of the twisted Chevalley group 2D4(2) over GF2.”

The 3-modular characters of the twisted Chevalley group 2D4(2) y 2D4(2).2.

Ibrahim A. I. Suleiman (1995)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.

Modular equations for some η-products

(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.