Author/Authors :
-، - نويسنده Dipartimento Matematica e Appl., v. Cintia, M.S.Angelo 5a,
I-80126 Napoli (Italy) Dardano, Ulderico , -، - نويسنده Dipartimento di Matematica, Informatica ed Economia, Universitya della Basilicata,
Viale dell'Ateneo Lucano 10, I-85100 Rinauro, Silvana
Abstract :
A subgroup H of a group G is called inert if, for each $gin G$, the index of $Hcap H^g$ in $H$ is finite. We give a classification of soluble-by-finite groups $G$ in which subnormal subgroups are inert in the cases where $G$ has no nontrivial torsion normal subgroups or $G$ is finitely generated.
