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Torsion-free groups isomorphic to all of their non-nilpotent subgroups
Published online by Cambridge University Press: 09 April 2009
Abstract
The main result is that every torsion-free locally nilpotent group that is isomorphic to each of its nonnilpotent subgroups is nilpotent, that is, a torsion-free locally nilpotent group G that is not nilpotent has a non-nilpotent subgroup H that is not isomorphic to G.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 71 , Issue 3 , December 2001 , pp. 339 - 348
- Copyright
- Copyright © Australian Mathematical Society 2001