Локально узагальнено радикальні групи з обмеженнями на деякі ранги

Abstract

A group G is said to be generalized radical if G has an ascending series of normal subroups whose factors are locally nilpotent or locally finite. Classes of locally generalized radical groups with finite Hirsch–Zajcev rank have been studied, and the relation of Hirsch–Zajcev rank to the other ranks is given.