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arXiv · 1205.4662

A note on ampleness in the theory of non abelian free groups

Rizos Sklinos
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Abstract

Recently Ould Houcine-Tent (see arXiv:1205.0929v2 [math.GR]) proved that the theory of non abelian free groups is $n$-ample for any $n<ω$. We give a sequence of single elements in $F_ω$ 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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Rizos Sklinos. 2012-06-13. A note on ampleness in the theory of non abelian free groups. https://arxiv.org/abs/1205.4662

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