Групи з умовою щільності нормальності для неперіодичних абелевих підгруп

Abstract

We will say that a non-Abelian group G has a dense system of normal nonperiodic Abelian subgroups, if for any such pair of nonperiodic Abelian subgroups A < B that A is not maximal in B, there is a normal subgroup N in G located between A and B, ie. A ≤ N ≤ B (CND[IA]-group). In this paper we obtain a complete description of CND[IA]-groups.