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In mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory.
Definitions, Affine algebraic groups & Overview
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algebraic group groups displaystyle mathrm linear variety affine general field lie varieties subgroup abelian mathbb projective structure also connected every
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Algebraic group | is a | algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety | 0.90 | text |
| Algebraic group | is a | linear | 0.90 | text |
| Algebraic group | is a | extension of an abelian variety by a linear algebraic group | 0.90 | text |
| that of invertible triangular matrices.Linear algebraic groups can be classified to a certain extent | instance of | or some solvable groups | 0.80 | text |
| Algebraic group | related to Abelian varieties | Abelian | 0.60 | section |
| Algebraic group | related to Abelian varieties | They | 0.60 | section |
| Algebraic group | related to Abelian varieties | Jacobian | 0.60 | section |
| Algebraic group | related to Affine algebraic groups | An | 0.60 | section |
| Algebraic group | related to Affine algebraic groups | Among | 0.60 | section |
| Algebraic group | related to Affine algebraic groups | Using | 0.60 | section |
| Algebraic group | related to Affine algebraic groups | For | 0.60 | section |
| Algebraic group | related to Affine algebraic groups | GL | 0.60 | section |
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