Инъекторы конечных групп

Abstract

В статье доказывается, что класс групп, который состоит из всех конечных групп G, инбекторы которых содержат силовскую р-подгруппу группы G, является насыщенной формацией Фитинга. = In his works Lockett, using Fitting F class of solvable groups and F-injectors, built up by Fisher, Hashuts, Hartley, and builds up a class of groups which consists of all those finite solvable G groups, F-injectors of which contain Hall’s π-subgroup of G group. He also proves that such class is a Fitting class. Since building up of such classes is connected with Hall’s subgroups and with F-injectors of solvable groups, it is natural that these results are formulated for the class of finite solvable groups. P.