Bounding the residual finiteness of free groups
Kassabov, Martin and Matucci, Francesco (2010) Bounding the residual finiteness of free groups. Pre-print (In Press).
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We find a lower bound to the size of finite groups detecting a given word in the free group, more precisely we construct a word wn of length n in non-abelian free groups with the property that wn is the identity on all finite quotients of size ∼ n2/3 or less. This improves on a previous result of Bou- Rabee and McReynolds quantifying the lower bound of the residual finiteness of free groups.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||28 May 2010 09:23|
|Last Modified:||08 Jun 2012 12:50|
|Contributors:||Kassabov, Martin (Author)
Matucci, Francesco (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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