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Approximate subgroups of linear groups

Abstract:

We establish various results on the structure of approximate subgroups in linear groups such as SL_n(k) that were previously announced by the authors. For example, generalising a result of Helfgott (who handled the cases n = 2 and 3), we show that any approximate subgroup of SL_n(F_q) which generates the group must be either very small or else nearly all of SL_n(F_q). The argument generalises to other absolutely almost simple connected (and non-commutative) algebraic groups G over a finite fi...

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Breuillard, E More by this author
Publication date:
2010-05-11
URN:
uuid:3360a503-d419-4508-8f4e-13b15d26b8e1
Source identifiers:
398471
Local pid:
pubs:398471
Keywords:

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