2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225711We note that a recent result of the second author yields upper bounds for odd-primary homotopy exponents of compact simple Lie groups which are often quite close to the lower bounds obtained from v_1-periodic homotopy theory.This is the version published by Geometry & Topology Monographs on 22 February 2008Algebraic Topology55Q52, 57T20Odd-primary homotopy exponents of compact simple Lie groupstext