Quasi-Isometrically Embedded Subgroups of Thompson's GroupF
نویسندگان
چکیده
منابع مشابه
Quasi - Isometrically Embedded Subgroups of Thompson ’ S Group F 3
The goal of this paper is to construct quasi-isometrically embedded subgroups of Thompson’s group F which are isomorphic to F × Zn 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. The interesting properties of Thompson’s gr...
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We give criteria for determining the approximate length of elements in any given cyclic subgroup of the Thompson-Stein groups F (n1, ..., nk) such that n1 − 1|ni − 1 ∀i ∈ {1, ..., k} in terms of the number of leaves in the minimal tree-pair diagram representative. This leads directly to the result that cyclic subgroups are quasi-isometrically embedded in the ThompsonStein groups. This result al...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7618