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math.GR2026
Watkins's conjecture holds for all infinite groups
Alex J. Sutherland
We prove that at every infinite cardinality, every group which is neither abelian of exponent greater than two nor generalized dicyclic admits a graphical regular representation, s…
math.GR2026
Finite-valued invariant metrics and a classification of natural groups
Alex J. Sutherland
Every group , of arbitrary cardinality, admits a right-invariant metric with at most five values whose isometry group is exactly the group of permutations preserving ever…
math-ph2026
Six-wave scattering in Hamiltonian Dysthe equations: Euler matching and integrability obstructions
Alex J. Sutherland, Solomon C. Yim
We compute the effective six-wave interaction in spatial and temporal Hamiltonian Dysthe equations and compare it with the complete degree-six coefficient of the deep-water Euler H…