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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.GR2025
A Group with Exactly One Noncommutator
Omar Hatem, Daoud Siniora
The question of whether there exists a finite group of order at least three in which every element except one is a commutator has remained unresolved in group theory. In this artic…