Nicholas Ramsey

collaborators

3 papers

math.LO2025

Primitive pseudo-finite permutation groups of finite SU-rank

Ulla KarhumÃ¤ki, Nicholas Ramsey

We study definably primitive pseudo-finite permutation groups of finite $S U$ -rank. We show that if $(G, X)$ is such a permutation group, then the rank of $G$ can be bounded in terms…

math.LO2025

A two-sorted theory of nilpotent Lie algebras

Christian d'ElbÃ©e, Isabel MÃ¼ller, Nicholas Ramsey +1

We prove the existence of a model companion of the two-sorted theory of $c$ -nilpotent Lie algebras over a field satisfying a given theory of fields. We describe a language in which…

math.LO2025

Measures on bounded perfect PAC fields

We describe a construction for producing Keisler measures on bounded perfect PAC fields. As a corollary, we deduce that all groups definable in bounded perfect PAC fields, and even…