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arxiv: 1803.06965 · v1 · pith:6RZFI7YSnew · submitted 2018-03-19 · 🧮 math.AG · math.GR

The normal hull and commutator group for nonconnected group schemes

classification 🧮 math.AG math.GR
keywords groupcommutatorhullnormalschemessmoothwellalgebraic
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In this short note, we prove that there is a well behaved notion of normal hull for smooth algebraic group schemes over a field and that the commutator group $(G,H)$ is well defined for $H\subset G$ smooth, even when both of them are not connected.

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