Ordered bases, order-preserving automorphisms and bi-orderable link groups
Group Theory
2026-01-14 v1 Geometric Topology
Abstract
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin and Rolfsen.
Cite
@article{arxiv.2406.18876,
title = {Ordered bases, order-preserving automorphisms and bi-orderable link groups},
author = {Tommy Wuxing Cai and Adam Clay and Dale Rolfsen},
journal= {arXiv preprint arXiv:2406.18876},
year = {2026}
}
Comments
19 pages, 2 figures