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math.GR2006★ 15 cited
The topology on the space of left orderings of a group
Peter A. Linnell
Let G be a group and let O_G denote the set of left orderings on G. Then O_G can be topologized in a natural way, and we shall study this topology to answer three conjectures. In p…
math.GR2006
Invariant group orderings and Galois conjugates
Peter A. Linnell, Akbar H. Rhemtulla, Dale P. O. Rolfsen
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 gr…