On ordered polycyclic groups
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- by R. J. Hursey PDF
- Proc. Amer. Math. Soc. 28 (1971), 391-394 Request permission
Abstract:
It has been asserted that any (full) order on a torsion-free, finitely generated, nilpotent group is defined by some $F$-basis of $G$ and that the group of $o$-automorphisms of such a group is itself a group of the same kind. Examples provided herein demonstrate that both of these assertions are false; however, it is proved that the group of $o$-automorphisms of an ordered, polycyclic group is nilpotent by abelian, and polycyclic.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 391-394
- MSC: Primary 06.75
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279015-4
- MathSciNet review: 0279015