Sobre elementos em grupos finitos cujos índices de seus centralizadores são potências de primo

Abstract

In the present work we are interested in finding sufficient conditions for elementx∈G to have prime-power index. Letx an be element in a groupG, we will denote byIndG(x) the index ofCG(x) inG. More generally, ifH≤G we denote the index [H :CH(x)] by IndH(x).