Bounding the residual finiteness of free groups

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 Bo...

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Bibliographic Details
Main Authors: Kassabov, Martin (Author), Matucci, Francesco (Author)
Format: Article
Language:English
Published: 2010-12.
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