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The purpose of this note is to prove a lower bound on the growth of Følner functions for Thompson’s group F . Specifically I will prove that, for any finite generating set Γ ⊆ F , there is ...
Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a...
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Abstract: Let n be bigger than 1 and let A be an element in the Higman-Thompson group V_n. We study the structure of the centralizer of a in V_n through a careful analysis of the action of the group g...
Abstract: Let X and Y be two nxn Hermitian matrices. In the article "Proof of a conjectured exponential formula" (Linear and Multilinear Algebra (19) 1986, 187-197) R. C. Thompson proved that there ex...
In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...
We show that Brin’s generalisations 2V and 3V of the Thompson-Higman group V are of type FP1. Our methods also give a new proof that both groups are finitely presented.
A slight modification of the definition of the Thompson-Higman groups Gk,1 and Fk,1 leads to inverse monoids that map onto Gk,1 (respectively Fk,1), and that have interesting properties: they are fin...
There are two natural metrics defined on an arbitrary convex cone: Thompson's part metric and Hilbert's projective metric. For both, we establish an inequality giving information about how far the met...
利用奇异摄动的内、外解匹配方法, 分析了各向异性时在相态场模型的边界层上表面张力、法向速度、平均曲率和各向异性函数的影响, 得到了各向异性时的Gibbs-Thompson关系, 以及边界层所满足的方程.

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