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An explicit upper bound for the Helfgott delta in SL(2,p)

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Abstract

Helfgott proved that there exists a δ>0 such that if S is a symmetric generating subset of SL(2,p) containing 1 then either S3=SL(2,p) or |S3| ≥|S|1+δ. It is known that δ ≥ 1/3024. Here we show that δ ≤(log2(7)-1)/6 ≈ 0.3012 and we present evidence suggesting that this might be the true value of δ.

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Details

Original languageEnglish
Pages (from-to)493-511
Number of pages19
JournalJournal of Algebra
Volume421
Early online date23 Sep 2014
DOIs
Publication statusPublished - 1 Jan 2015

    Research areas

  • Simple group, Subset growth, Approximate subgroup

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