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subnormal subgroups; soluble-by-finite groups
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 {\it 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.
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[KS2] Kurdachenko L.A., Smith H.: Groups with the weak maximal condition for non-subnormal subgroups. Ricerche Mat. 47 (1998), 29-49. MR 1760322 | Zbl 0928.20025
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[Mö] Möhres W.: Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. Arch. Math. (Basel) 54 (1990), 232-235. MR 1037610
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[Z] Zai'cev D.I.: Theory of minimax groups. Ukrainian Math. J. 23 (1971), 536-542. MR 0294512
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