Про будову груп з умовою щільності нормальності для нескінченних підгруп

Abstract

We will say that a non-Abelian group G has a dense system of normal infinite subgroups if for any pair of infinite subgroups A < B such that A is not maximal in B, there exists a normal subgroup N in G located between A and B, i.e. A ≤ N ≤ B (USCHN[NP]-group). In this work, a constructive description of solvable non-dedekind USCHN[NP]-groups is obtained.