3 papers
math.GR2026
Shirshov's amalgamated free product and generic nilpotent groups
Christian d'Elbée, Isabel Müller, Nicholas Ramsey +1
In earlier work, the authors gave a construction and description of an amalgamated free product of filtered Lie algebras within a fixed nilpotency class, based on an intricate indu…
math.LO2019
Generic expansion of an abelian variety by a subgroup
Christian d'Elbée
Let be an abelian variety in a field of characteristic . We prove that the expansion of by a generic divisible subgroup of with the same torsion exists provided …
math.LO2018
Generic Expansions by a Reduct
Christian d'Elbée
Consider the expansion of a theory by a predicate for a submodel of a reduct of . We present a setup in which this expansion admits a model companion . We sh…