A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal

Authors: TAHİRE ÖZEN

Abstract: The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.

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