Исследование свойств инъекторов конечных групп

Abstract

P. Hermann constructed a special class of groups N(p, q) (the class of finite groups without minimal non-p-nilpotent subgroups of order nm qp , p, q – prime, ;qp  m, n – any natural numbers) and proved that this class of groups was an unsaturated Fitting formation. V. Goiko proved the existence of N(p, q)-injectors in arbitrary finite groups. In the present paper, the properties of N(p, q)-injectors in finite groups are established.