Property (RD) for algebraic p-adic groups [La propriété (RD) pour les groupes algébriques p-adiques]

摘要

We investigate in this Note the structure of compactly generated p-adic groups that have property (RD). We prove in particular that a compactly generated algebraic group over Q_p with a compactly generated radical has property (RD) if and only if it is reductive.