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A note on minimal modular symbols


Author: Avner Ash
Journal: Proc. Amer. Math. Soc. 96 (1986), 394-396
MSC: Primary 22E40; Secondary 11E72, 11F67
MathSciNet review: 822426
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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.


References [Enhancements On Off] (What's this?)

  • [1] Avner Ash and Lee Rudolph, The modular symbol and continued fractions in higher dimensions, Invent. Math. 55 (1979), no. 3, 241–250. MR 553998, 10.1007/BF01406842
  • [2] A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973), 436–491. Avec un appendice: Arrondissement des variétés à coins, par A. Douady et L. Hérault. MR 0387495
  • [3] Armand Borel, Introduction aux groupes arithmétiques, Publications de l’Institut de Mathématique de l’Université de Strasbourg, XV. Actualités Scientifiques et Industrielles, No. 1341, Hermann, Paris, 1969 (French). MR 0244260
  • [4] Avner Ash, Non-square-integrable cohomology of arithmetic groups, Duke Math. J. 47 (1980), no. 2, 435–449. MR 575906

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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0822426-7
Article copyright: © Copyright 1986 American Mathematical Society