Invariant group orderings and Galois conjugates

Details Invariant group orderings and Galois conjugates Invariant group orderings and Galois conjugates

2006-05-12

arxiv.org/abs/math/0605344v2

Mathematics

Group Theory

v2: 9 pages, minor changes, to appear in J. Algebra

Scientific paper

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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