Propriedades de Frattini em PC-Grupos

Abstract

After describing some important classes of groups, we found that place nilpotência and local supersolubilidade are the property of PC- groups Farttini , dirty groups conjunction classes are polycyclic by infinity. In particular , we note that if G is a group then PC- G / ɸ ( g ) is locally nilpotent ( supersolúvel ) if , and only if G is locally nilpotent ( supersolúvel ) .