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Leonid A. Kurdachenko, Howard Smith /HKFI MEJD JDA MA= EE= ?@EJE BH IK>H= IK>CHKFI 11

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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: LetGbe a group with the property that there are no infinite descending chains of non-subnormal subgroups ofGfor which all successive indices are infinite.

The main result is that ifGis 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

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