On a non-abelian Balog-Szemeredi-type lemma

Details On a non-abelian Balog-Szemeredi-type lemma On a non-abelian Balog-Szemeredi-type lemma

2009-12-02

arxiv.org/abs/0912.0306v2

J. Aust. Math. Soc. 89 (2010), no. 1, 127-132

Mathematics

Combinatorics

5 pp. Corrected typos. Minor revisions

Scientific paper

10.1017/S1446788710000236

We show that if G is a group and A is a finite subset of G with |A^2| < K|A|,
then for all k there is a symmetric neighbourhood of the identity S with S^k a
subset of A^2A^{-2} and |S| > exp(-K^{O(k)})|A|.

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