Antonio BeltránMaría José FelipeChangguo ShaoEvgenii I. KhukhroA. BeltránM. J. FelipeC. Shao
LetN be a normal subgroup of a groupG and let p be a prime. We prove that if the p-part of jx j is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.