A note on minimal modular symbols

Author:

Ash Avner

Abstract

For any arithmetic group, a set of geometrically-defined cohomology classes is constructed which spans the cohomology of the group with rational coefficients in the highest nonvanishing dimension thereof.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. The modular symbol and continued fractions in higher dimensions;Ash, Avner;Invent. Math.,1979

2. Corners and arithmetic groups;Borel, A.;Comment. Math. Helv.,1973

3. Publications de l'Institut de Math\'{e}matique de l'Universit\'{e} de Strasbourg, XV. Actualit\'{e}s Scientifiques et Industrielles, No. 1341;Borel, Armand,1969

4. Non-square-integrable cohomology of arithmetic groups;Ash, Avner;Duke Math. J.,1980

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1. On the Steinberg module of Chevalley groups;manuscripta mathematica;2005-02-07

2. Finiteness of Minimal Modular Symbols for SLn;Journal of Number Theory;2000-05

3. Symplectic modular symbols;Duke Mathematical Journal;2000-04-01

4. Modular Symbols for Q-Rank One Groups and Voronı Reduction;Journal of Number Theory;1999-04

5. Vanishing periods of cusp forms over modular symbols;Mathematische Annalen;1993-12

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