Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups

DOI10.4007/annals.2010.171.979zbMath1221.11082OpenAlexW2127618250MaRDI QIDQ974060

L.N.Vaserstein and E.R.Wheland

Publication date: 27 May 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.princeton.edu/annals/2010/171-2/p07.xhtml

zbMATH Keywords

quadratic formcongruence subgroupChevalley-Demazure-group

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (8)

\(\mathrm{SL}_2\)-factorizations of Chevalley groups. ⋮ Linear groups over general rings. I: Generalities. ⋮ Polynomial parametrization of integer matrices with given determinant ⋮ Diophantine equations with three monomials ⋮ Bounded generation and commutator width of Chevalley groups: function case ⋮ Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples ⋮ Parametrization of Pythagorean triples by a single triple of polynomials ⋮ Non-virtually abelian anisotropic linear groups are not boundedly generated

Cites Work

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