2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78474The aim of this note is to give simple proofs of some results of Reichstein and Youssin (math.AG/9903162) about the behaviour of fixed points of finite group actions under rational maps. Our proofs work in any characteristic. We also give a short proof of the Nishimura lemma.LATEX2e, 3 pagesAlgebraic Geometrytext