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Given any affine algebraic group $G$ given over an algebraically closed field $\mathbb{F}$ of characteristic $0$ with a faithfull representation in $GL_n(\mathbb{F})$ . If one knows the generators of the corresponding ideal, what can be said about the generators of $G^u$. Here $G^u$ shall denote the group generated by all unipotent elements of $G$. (Unlike the case where $G$ is irreducible and solvable, this group is not necessarily unipotent).

I am particular interested in bounds on the degrees of the generators; also any reference, which deals with unipotent generated groups is welcome.

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Given any affine algebraic group $G$. G$given over an algebraically closed field$\mathbb{F}$of characteristic$0$with a faithfull representation in$GL_n(\mathbb{F})$. If one knows the generators of the corresponding ideal, what can be said about the generators of$G^u$. Here$G^u$shall denote the group generated by all unipotent elements of$G$. (Unlike the case where$G$is irreducible and solvable, this group is not necessarily unipotent). I am particular interested in bounds on the degrees of the generators; also any reference, which deals with unipotent generated groups is welcome. 3 added 7 characters in body Given any affine algebraic group$G$. If one knows the generators of the corresponding ideal, what can be said about the generators of$G^u$. Here$G^u$shall denote the group generated by all unipotent elements . of$G$. (Unlike the case where$G\$ is irreducible and solvable, this group is not necessarily unipotent).

I am particular interested in bounds on the degrees of the generators; also any reference, which deals with unipotent generated groups is welcome.

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