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Corners Over Quasirandom Groups

Published online by Cambridge University Press:  06 June 2017

PAVEL ZORIN-KRANICH*
Affiliation:
Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany (e-mail: [email protected]), http://www.math.uni-bonn.de/people/pzorin/

Abstract

Let G be a finite D-quasirandom group and AGk a δ-dense subset. Then the density of the set of side lengths g of corners

$$ \{(a_{1},\dotsc,a_{k}),(ga_{1},a_{2},\dotsc,a_{k}),\dotsc,(ga_{1},\dotsc,ga_{k})\} \subset A $$
converges to 1 as D → ∞.

Type
Paper
Copyright
Copyright © Cambridge University Press 2017 

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