Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Author "Roney-Dougal, Colva M"

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

    Button, Jack; Roney-Dougal, Colva M (ElsevierJournal of Algebra, 2014-09-23)
    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 S^3=SL(2, p)or |S^3| ≥|S|^1+ δ. It is known that δ ≥ 1/3024. Here we show that δ ≤ (log_2 (7) ...