Growth of small generating sets in SL_n(ℤ/pℤ)

Gill, Nick and Helfgott, Harald Andres (2011). Growth of small generating sets in SL_n(ℤ/pℤ). International Mathematics Research Notices, 18 pp. 4226–4251.

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DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1093/imrn/rnq244
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Abstract

Let G=SL_n 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
ISSN:	1687-0247
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	30155
Depositing User:	Nick Gill
Date Deposited:	21 Nov 2011 09:36
Last Modified:	12 Dec 2012 08:13
URI:	http://oro.open.ac.uk/id/eprint/30155

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