On metric approximate subgroups

Let G𝐺 be a group with a metric invariant under left and right translations, and let Dr𝔻𝑟 be the ball of radius r𝑟 around the identity. A (k,r)(𝑘,𝑟)-metric approximate subgroup is a symmetric subset X𝑋 of G𝐺 such that the pairwise product set XX𝑋𝑋 is covered by at most k𝑘 translates of XDr𝑋𝔻𝑟. This...

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Bibliographic Details
Main Authors: Hrushovski, E, Fanlo, AR
Format: Journal article
Language:English
Published: World Scientific Publishing 2024