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- W2494952563 abstract "Let $G$ be a finite group acting transitively on a set $Omega$. We study what it means for this action to be {it quasirandom}, thereby generalizing Gowers' study of quasirandomness in groups. We connect this notion of quasirandomness to an upper bound for the convolution of functions associated with the action of $G$ on $Omega$. This convolution bound allows us to give sufficient conditions such that sets $S,Tsubset G$ and $Gammasubseteq Omega$ contain elements $sin S, tin T, gammainGamma$ such that $s(gamma)=t$. Other consequences include an analogue of `the Gowers trick' of Nikolov and Pyber for general group actions, a sum-product type theorem for large subsets of a finite field, as well as applications to expanders and to the study of the diameter and width of a finite simple group." @default.
- W2494952563 created "2016-08-23" @default.
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- W2494952563 date "2013-02-05" @default.
- W2494952563 modified "2023-09-27" @default.
- W2494952563 title "Quasirandom group actions" @default.
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