On ampleness and pseudo-Anosov homeomorphisms in the free group | Zendy

Rizos Sklinos | Zendy

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On ampleness and pseudo-Anosov homeomorphisms in the free group

Author(s) -

Rizos Sklinos

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1308-6

Subject(s) - mathematics , preprint , abelian group , pure mathematics , sequence (biology) , omega , order (exchange) , group (periodic table) , free group , combinatorics , chemistry , computer science , organic chemistry , finance , world wide web , economics , biochemistry , physics , quantum mechanics

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.

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