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On the smoothness of centralizers in reductive groups

On the smoothness of centralizers in reductive groups

Let $G$ be a connected reductive algebraic group over an algebraically closed field $k$. In a recent paper, Bate, Martin, Röhrle and Tange show that every (smooth) subgroup of $G$ is separable provided that the characteristic of $k$ is very good for $G$. Here separability of a subgroup means that …