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The purpose of this chapter is to recall briefly the fundamental notions of the theory of algebraic groups.
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independent generic points, generic homomorphism, prime rational cycle, commutative group variety, torsion divisor, duality hypothesis, associativity theorem, linear equivalence class, two abelian varieties, birational isomorphism, rational map, abelian variety, generic translation, generic hyperplane section, seesaw principle, abelian subvariety, universal mapping property, purely inseparable extension, polar divisor, arbitrary variety, separable algebraic extension, primary extension, reducibility theorem, proves our proposition, regular extension
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