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Invariant group orderings and Galois conjugates

Peter A. Linnell·Akbar H. Rhemtulla·Dale P. O. Rolfsen
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Abstract

This paper investigates conditions under which a given automorphism of a residually torsion-free nilpotent group respects some ordering of the group. For free groups and surface groups, this has relevance to ordering the fundamental groups of three-dimensional manifolds which fibre over the circle.

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Peter A. Linnell, Akbar H. Rhemtulla, Dale P. O. Rolfsen. 2008-03-04. Invariant group orderings and Galois conjugates. https://arxiv.org/abs/math/0605344

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