5 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
A two-sorted theory of nilpotent Lie algebras
Christian d'Elbée, Isabel Müller, Nicholas Ramsey +1
We prove the existence of a model companion of the two-sorted theory of -nilpotent Lie algebras over a field satisfying a given theory of fields. We describe a language in which…
Model-theoretic properties of nilpotent groups and Lie algebras
Christian d'Elbée, Isabel Müller, Nicholas Ramsey +1
We give a systematic study of the model theory of generic nilpotent groups and Lie algebras. We show that the Fraïssé limit of 2-nilpotent groups of exponent studied by Baudisc…
On the automorphism group of the universal homogeneous meet-tree
Itay Kaplan, Tomasz Rzepecki, Daoud Siniora
We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.
Coherent extension of partial automorphisms, free amalgamation, and automorphism groups
Daoud Siniora, Sławomir Solecki
We give strengthened versions of the Herwig-Lascar and Hodkinson-Otto extension theorems for partial automorphisms of finite structures. Such strengthenings yield several combinato…
Bowtie-free graphs and generic automorphisms
Daoud Siniora
We show that the countable universal omega-categorical bowtie-free graph admits generic automorphisms. Moreover, we show that this graph is not finitely homogenisable.