Abstract

VERGARA, GABRIEL  and  SALAZAR, OLGA. Subgroups Clone of Thompson Group F. Rev.colomb.mat. [online]. 2014, vol.48, n.2, pp.125-133. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v48n2.54120.

In this article we will study some subgroups clon of the Group F, although they are isomorphic to F, we will prove that they are quasi-isometrically embedded in F. These subgroups are of great importance from the point of view of geometric group theory, because from these we can build a family of subgroups of the form Fⁿ\timesZ^m where n∈Z⁺ and m≥0, quasi-isometrically embedded in F.

Keywords : Thompson group F; cuasi-isometric embeddings; subgroups clone.

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