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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2010-12.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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. |
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