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Miniature of Free limits of Thompson's group F
Free limits of Thompson's group F

Date: 2011-12-01

Creator: Azer Akhmedov, Melanie Stein, Jennifer Taback

Access: Open access

We produce a sequence of markings Sk of Thompson's group F within the space Gn of all marked n-generator groups so that the sequence (F, Sk) converges to the free group on n generators, for n ≥ 3. In addition, we give presentations for the limits of some other natural (convergent) sequences of markings to consider on F within G3, including (F, {x0, x1, xn}) and (F, {x0, x1, x0n}) © 2011 Springer Science+Business Media B.V.