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Preprint Number 456

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456. Rizos Sklinos
A note on ampleness in the theory of non abelian free groups

Submission date: 21 May 2012.


Recently Ould Houcine-Tent (see arXiv:1205.0929v2 [math.GR]) proved that the theory of non abelian free groups is n-ample for each n<\omega. We give a sequence of single elements in F_{\omega} witnessing the above mentioned result. Our proof is not independent from the one given in arXiv:1205.0929v2 [math.GR], as we essentially use some theorems from there. On the other hand our witnessing sequence is much simpler.

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Full text arXiv 1205.4662: pdf, ps.

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