2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228337The notion of a topological Jordan decomposition of a compact element of a reductive p-adic group has proven useful in many contexts. In this paper, we generalise it to groups defined over fairly general discretely-valued fields and prove the usual existence and uniqueness properties, as well as an analogue of a fixed-point result of Prasad and Yu.28 pagesGroup Theory20G25, 22E35 (Primary) 22D05 (Secondary)text