Open Access
- https://doi.org/10.1017/s0963548317000190
Corners Over Quasirandom Groups
- Jun 6, 2017
- Combinatorics, Probability and Computing
- Pavel Zorin-Kranich
Abstract
Let G be a finite D-quasirandom group and A ⊂ Gk 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 → ∞.