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We give upper bounds for triples of subsets of a finite group such that the triples of elements that multiply to 1 form a perfect matching.
Linear Representations of Finite Groups
Jean-Pierre Serre · 1977
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Notes on modular representations of p-adic groups, and the Langlands correspondence
Dipendra Prasad · 2010
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A connection between matchings and removal in abelian groups
James Aaronson · 2016
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Many zero divisors in a group ring imply bounds on progression–free subsets
Fedor Petrov · 2016
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Notes on the “slice rank” of tensors
Will Sawin and Terence Tao · 2016
Cited alongside, same era.
A symmetric formulation of the Croot-Lev-Pach-Ellenberg-Gijswijt capset bound
Terence Tao · 2016
Cited alongside, same era.
On cap sets and the group-theoretic approach to matrix multiplication
Jonah Blasiak, Thomas Church, Henry Cohn, Joshua A. Grochow, Eric Naslund, William F. Sawin, and Chris Umans · 2017
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Progression-free sets in ℤ 4 n \mathbb{Z}_{4}^{n} are exponentially small
Ernie Croot, Vsevolod F. Lev, and Péter Pál Pach · 2017
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On large subsets of 𝔽 q n \mathbb{F}_{q}^{n} with no three-term arithmetic progression
Jordan S. Ellenberg and Dion Gijswijt · 2017
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