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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.CO2026
Cofinality of Regular Tournaments
Omar Hatem, Sara Mohamed, Isabel Müller +1
We show that the class of all finite regular tournaments is cofinal in the class of finite tournaments. In addition, we establish cofinality results for certain special subclasses…