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math.GR2025
Generalized torsion in amalgams
Tommy Wuxing Cai, Adam Clay
We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is general…
math.GR2024
Ordered bases, order-preserving automorphisms and bi-orderable link groups
Tommy Wuxing Cai, Adam Clay, Dale Rolfsen
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…