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This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.

Algebraic number theory. --- Linear algebraic groups. --- Algebraic groups, Linear --- Geometry, Algebraic --- Group theory --- Algebraic varieties --- Number theory --- Algebriac number theory.

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An accessible text introducing algebraic geometry and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic geometries from basic principles.

Geometry, Algebraic. --- Linear algebraic groups. --- Algebraic groups, Linear --- Geometry, Algebraic --- Group theory --- Algebraic varieties --- Algebraic geometry --- Geometry

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Group theory --- 512 --- Linear algebraic groups --- Algebraic groups, Linear --- Geometry, Algebraic --- Algebraic varieties --- Algebra --- Linear algebraic groups. --- 512 Algebra --- Groupes (algebre) --- Groupes lineaires

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Group theory --- Maximal subgroups --- Linear algebraic groups --- Groupes, Théorie des. --- Groupes algébriques linéaires. --- Fitting subgroup --- Subgroup, Fitting --- Subgroups, Maximal --- Algebraic groups, Linear --- Geometry, Algebraic --- Algebraic varieties

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Arithmetic groups --- Linear algebraic groups --- 512.54 --- Algebraic groups, Linear --- Geometry, Algebraic --- Group theory --- Algebraic varieties --- 512.54 Groups. Group theory --- Groups. Group theory