4 papers
math.LO2026
On p-Lie algebras of finite Morley rank
Samuel Zamour
We develop the theory of p-Lie algebras of finite Morley rank. In particular, we prove a form of weight spaces decomposition relative to an appropriate notion of torus and we obtai…
math.LO2026
Cartan subrings in soluble ranked Lie rings
Jules Tindzogho Ntsiri, Samuel Zamour
We prove the existence of Cartan subrings, i.e., self-normalizing nilpotent subrings in soluble ranked Lie rings.
math.LO2026
On the cohomology of finite-dimensional nilpotent groups and Lie rings
Samuel Zamour
We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model…
math.GR2025
Ranked definably linear quasi-Frobenius groups
Samuel Zamour
We describe the classification of ranked definably quasi-Frobenius groups of odd type : dihedral configurations are isomorphic to PGL(2, K) for K an algebraically closed field of c…