Files in this item
An explicit upper bound for the Helfgott delta in SL(2,p)
Item metadata
dc.contributor.author | Button, Jack | |
dc.contributor.author | Roney-Dougal, Colva | |
dc.date.accessioned | 2014-11-20T16:31:02Z | |
dc.date.available | 2014-11-20T16:31:02Z | |
dc.date.issued | 2015-01-01 | |
dc.identifier | 157245877 | |
dc.identifier | 9bdb89a6-8ae2-4f7a-addf-4fe7530ba593 | |
dc.identifier | 84908568382 | |
dc.identifier | 000345194400025 | |
dc.identifier.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 | en |
dc.identifier.issn | 0021-8693 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1401.2863v1 | |
dc.identifier.other | ORCID: /0000-0002-0532-3349/work/73700936 | |
dc.identifier.uri | https://hdl.handle.net/10023/5819 | |
dc.description.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. | |
dc.format.extent | 19 | |
dc.format.extent | 224882 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Algebra | en |
dc.subject | Simple group | en |
dc.subject | Subset growth | en |
dc.subject | Approximate subgroup | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | An explicit upper bound for the Helfgott delta in SL(2,p) | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1016/j.jalgebra.2014.09.001 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-01-01 | |
dc.identifier.grantnumber | EP/I03582X/1 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.