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

2014; Elsevier BV; Volume: 421; Linguagem: Inglês

10.1016/j.jalgebra.2014.09.001

ISSN

1090-266X

Autores

J. O. Button, Colva M. Roney‐Dougal,

Tópico(s)

Limits and Structures in Graph Theory

Resumo

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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