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

Jack Button, Colva Roney-Dougal

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
6 Downloads (Pure)

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.

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

Keywords

  • Simple group
  • Subset growth
  • Approximate subgroup

Fingerprint

Dive into the research topics of 'An explicit upper bound for the Helfgott delta in SL(2,p)'. Together they form a unique fingerprint.

Cite this