The Jamneshan-Tao conjecture holds for finite abelian groups of rank at most R via an inverse theorem linking non-trivial Gowers norms to bounded-complexity nilsequences.
Candela,Notes on nilspaces: algebraic aspects, Discrete Anal., 2017, Paper No
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The Jamneshan-Tao conjecture for finite abelian groups of bounded rank
The Jamneshan-Tao conjecture holds for finite abelian groups of rank at most R via an inverse theorem linking non-trivial Gowers norms to bounded-complexity nilsequences.