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math.LO2026
On simple groups definable in some valued fields
Jakub Gismatullin, Immanuel Halupczok, Dugald Macpherson
We prove that non-abelian definable, definably simple groups in 1-h-minimal henselian valued fields are essentially already linear algebraic groups. Here, the group is assumed to l…
math.LO2024
Omega-categorical limits of betweenness relations and -sets
Asma Ibrahim Almazaydeh, Samuel Braunfeld, Dugald Macpherson
We explore two constructions of oligomorphic Jordan permutation groups preserving a `limit of betweenness relations' and a `limit of -relations', from \cite{bhattmacph2006jordan…