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Invariant group orderings and Galois conjugates

2006/05/12 by Peter A. Linnell, Linnell, Peter A., A. H. Rhemtulla +5
Computer Science · Mathematics · #20F34 #20F60 (Primary) 06F15 #57M25 (Secondary) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #msc:06F15 #msc:20F34 #msc:20F60 #msc:57M25 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0605344

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

openalex publication_date 2006/05/12 · arxiv created 2008/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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