Chevalley theorem

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Several theorems proved by the French mathematician Claude Chevalley bear his name.

• Chevalley–Shephard–Todd theorem in invariant theory of finite groups.
• Chevalley-Warning theorem concerning the number of solutions of algebraic equations over a finite field.
• Chevalley restriction theorem identifying the invariants of the adjoint action of a semisimple algebraic group with the invaraints of its Weyl group acting on the Cartan subalgebra.
• Chevalley theorem on algebraic groups: if G is an algebraic group then it contains a closed normal subgroup N such that N is affine and the quotient G/N is an abelian variety (a subgroup N with this property is unique).