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Torsion-free groups with all subgroups subnormal

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Abstract.

It is proved that a torsion-free group with all subgroups subnormal is nilpotent.

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  1. Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA, , , , , , US

    H. Smith

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  1. H. Smith
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Received: 19.4.1999

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Smith, H. Torsion-free groups with all subgroups subnormal. Arch. Math. 76, 1–6 (2001). https://doi.org/10.1007/s000130050533

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  • DOI: https://doi.org/10.1007/s000130050533

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