Ballester Bolinches, AdolfoEsteban Romero, RamónEzquerro Marín, Luis Miguel2020-08-062020-08-0620162499-128710.4399/97888548970143https://academica-e.unavarra.es/handle/2454/37756Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an application, the authors show a common extension of the p-nilpotence criteria proved in [3] and [9].6 p.application/pdfengCreative Commons Attribution-Noncommercial License (CC BY-NC 3.0)Normal p-complementControl of fusioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess