An Introduction to Arithmetic Groups

Christophe Soulé ()
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Christophe Soulé: CNRS and IHES

A chapter in Frontiers in Number Theory, Physics, and Geometry II, 2007, pp 247-276 from Springer

Abstract: Abstract Arithmetic groups are groups of matrices with integral coefficients. They first appeared in the work of Gauss, Minkowski and others on the arithmetic theory of quadratic forms. Their reduction theory consists in showing that, after a linear change of variables with integral coefficients, any quadratic form can be forced to satisfy an appropriate set of inequalities.

Keywords: Quadratic Form; Normal Subgroup; Algebraic Group; Chevalley Group; Congruence Subgroup (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-30308-4_6

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DOI: 10.1007/978-3-540-30308-4_6

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