Unipotent normal subgruops of linear Lie groups

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Let $G$ be a linear complex Lie group which is not solvable and not semisimple. let $N$ be the nilpotent radical of $G$. Does there exist a unipotent normal subgroup $U$ of $G$ which contains the last non-trivial term of the lower central series of $N$?




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    Let $G$ be a linear complex Lie group which is not solvable and not semisimple. let $N$ be the nilpotent radical of $G$. Does there exist a unipotent normal subgroup $U$ of $G$ which contains the last non-trivial term of the lower central series of $N$?




    algebraic-geometry lie-groups algebraic-groups




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      up vote
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      Let $G$ be a linear complex Lie group which is not solvable and not semisimple. let $N$ be the nilpotent radical of $G$. Does there exist a unipotent normal subgroup $U$ of $G$ which contains the last non-trivial term of the lower central series of $N$?




      algebraic-geometry lie-groups algebraic-groups




      share|cite|improve this question













      Let $G$ be a linear complex Lie group which is not solvable and not semisimple. let $N$ be the nilpotent radical of $G$. Does there exist a unipotent normal subgroup $U$ of $G$ which contains the last non-trivial term of the lower central series of $N$?





      algebraic-geometry lie-groups algebraic-groups





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 22 at 4:04
























      asked Jul 22 at 3:37









      Ronald

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