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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
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\timesZm where n∈Z+ and m≥0, quasi-isometrically embedded in F.
Keywords : Thompson group F; cuasi-isometric embeddings; subgroups clone.