Leonid A. Kurdachenko, Howard Smith
Groups with the weak minimal condition for non-subnormal subgroups II

Comment.Math.Univ.Carolinae 46,4 (2005) 601-605.

Abstract:Let $G$ be a group with the property that there are no infinite descending chains of non-subnormal subgroups of $G$ for which all successive indices are infinite. The main result is that if $G$ is a locally (soluble-by-finite) group with this property then either $G$ has {all} subgroups subnormal or $G$ is a soluble-by-finite minimax group. This result fills a gap left in an earlier paper by the same authors on groups with the stated property.

Keywords: subnormal subgroups, soluble-by-finite groups
AMS Subject Classification: 20E15, 20F19