2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72324The character of an irreducible admissible representation of a $p$-adic reductive group is known to be a constant function in some neighborhood of any regular semisimple element $γ$ in the group. Under certain mild restrictions on $γ$, we give an explicit description of a neighborhood of $γ$ on which the character is constant.13 pages, corrected typos, minor changes to contentRepresentation TheoryPrimary 22E50; Secondary 22E35, 20G25text