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arXiv:0810.1509 [math.GR]AbstractReferencesReviewsResources

The fully residually F quotients of F*<x,y>

Nicholas W. M. Touikan

Published 2008-10-08, updated 2010-10-18Version 5

We describe the fully residually F; or limit groups relative to F; (where F is a free group) that arise from systems of equations in two variables over F that have coefficients in F.

Comments: 64 pages, 2 figures. Following recommendations from a referee, the paper has been completely reorganized and many small mistakes have been corrected. There were also a few gaps in the earlier version of the paper that have been fixed. In particular much of the content of Section 8 in the previous version had to be replaced. This paper is to appear in Groups. Geom. Dyn
Journal: Groups Geom. Dyn. 6 (2012), no. 1, 155 -- 220
Categories: math.GR, math.AG
Subjects: 20E99, 20E08, 20E05
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