Quasi-isometrically embedded subgroups of Thompson's group F

Details Quasi-isometrically embedded subgroups of Thompson's group F Quasi-isometrically embedded subgroups of Thompson's group F

1998-02-19

arxiv.org/abs/math/9802095v1

Mathematics

Group Theory

AMS-Tex file, 8 pages

Scientific paper

The goal of this paper is to construct quasi-isometrically embedded subgroups
of Thompson's group $F$ which are isomorphic to $\fz^n$ for all $n$. A result
estimating the norm of an element of Thompson's group is found. As a corollary,
Thompson's group is seen to be an example of a finitely presented group which
has an infinite-dimensional asymptotic cone.

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