Gill, Nick and Helfgott, Harald Andres
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|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1093/imrn/rnq244|
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Let G=SLn and fix δ a positive number. We prove that there are positive numbers ε and C such that, for all fields K=ℤ/pℤ (p prime), and all sets A⊂G(K) that generate G(K), either |A|>p^(n+1−δ), δ>0 or |A⋅A⋅A|≥C|A|^(1+ε).
|Item Type:||Journal Article|
|Copyright Holders:||2010 The Authors|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Nick Gill|
|Date Deposited:||21 Nov 2011 09:36|
|Last Modified:||12 Dec 2012 08:13|
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