Geodesic
ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 221-227

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we deal with locally graded groups whose subgroups are either subnormal or soluble of bounded derived length, say d. In particular, we prove that every locally (soluble-by-finite) group with this property is either soluble or an extension of a soluble group of derived length at most d by a finite group, which fits between a minimal simple group and its automorphism group. We also classify all the finite non-abelian simple groups whose proper subgroups are metabelian.
DOI : 10.1017/S0017089513000190
Mots-clés : 20F19, 20E32 
ERSOY, KIVANÇ; TORTORA, ANTONIO; TOTA, MARIA. ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 221-227. doi: 10.1017/S0017089513000190
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