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math.GR2026
The Jamneshan-Tao conjecture for finite abelian groups of bounded rank
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer (i.e. finite abelian groups generated by at most elements), by proving an…
math.GR2024
A higher-order generalization of group theory
Balazs Szegedy
The goal of this paper is to show that fundamental concepts in higher-order Fourier analysis can be nauturally extended to the non-commutative setting. We generalize Gowers norms t…