An explicit upper bound for the Helfgott delta in SL(2,p)
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.
Citation
Button , J & Roney-Dougal , C 2015 , ' An explicit upper bound for the Helfgott delta in SL(2,p) ' , Journal of Algebra , vol. 421 , pp. 493-511 . https://doi.org/10.1016/j.jalgebra.2014.09.001
Publication
Journal of Algebra
Status
Peer reviewed
ISSN
0021-8693Type
Journal article
Collections
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