English

Invariant group orderings and Galois conjugates

Group Theory 2008-03-04 v2

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.

Keywords

Cite

@article{arxiv.math/0605344,
  title  = {Invariant group orderings and Galois conjugates},
  author = {Peter A. Linnell and Akbar H. Rhemtulla and Dale P. O. Rolfsen},
  journal= {arXiv preprint arXiv:math/0605344},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T17:35:47.024Z