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arXiv · 2101.10662

How far are p-adic Lie groups from algebraic groups?

Yves Benoist·Jean-François Quint
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Abstract

We show that, in a weakly regular $p$-adic Lie group $G$, the subgroup $G_u$ spanned by the one-parameter subgroups of $G$ admits a Levi decomposition. As a consequence, there exists a regular open subgroup of $G$ which contains $G_u$.

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Yves Benoist, Jean-François Quint. 2021-01-26. How far are p-adic Lie groups from algebraic groups?. https://arxiv.org/abs/2101.10662

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