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Solvable groups in
which every maximal partial order is isolated
Roberta Mura and Akbar H. Rhemtulla |
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Vol. 51 (1974), No. 2, 509–514
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Abstract |
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It is shown that every maximal partial order in a torsionfree abelian-by-nilpotent group is isolated. The same is true for an ordered polycyclic group. Examples are given to show that maximal partial orders need not be isolated in torsion-free polycyclic groups, nor in ordered centre-by-metabelian groups. |
Mathematical Subject Classification
Primary: 06A55
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Milestones
Received: 16 February 1973
Published: 1 April 1974
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Authors |
| Roberta Mura | |
| Akbar H. Rhemtulla | |
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