- Turkish Journal of Mathematics
- Vol: 39 Issue: 1
- On ampleness and pseudo-Anosov homeomorphisms in the free group
On ampleness and pseudo-Anosov homeomorphisms in the free group
Authors : Rizos Sklinos
Pages : 63-80
Doi:10.3906/mat-1308-6
View : 8 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We use pseudo-Anosov homeomorphisms of surfaces in order to prove that the first-order theory of non-Abelian free groups, Tfg, is n-ample for any n \in w. This result adds to the work of Pillay, which proved that Tfg is non-CM-trivial. The sequence witnessing ampleness is a sequence of primitive elements in Fw. Our result provides an alternative proof to the main result of a recent preprint by Ould Houcine and Tent.Keywords : Free groups, pseudo-Anosov homeomorphisms, geometric stability theory