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math.LO2025
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.LO2025
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…