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algebraic group

noun

Definitions

  1. A group that is an algebraic variety.

    • The purpose of this article is to discuss various results concerning the subgroups of simple algebraic groups G and of the corresponding finite groups of Lie type G^F (where F is a Frobenius morphism).
    • We begin by showing how to make the quotient of an affine algebraic group by a normal algebraic subgroup into an affine algebraic group, and we determine the structure of commutative affine algebraic groups.

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA