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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...
(转自阿贝尔奖官方网站) 挪威科学与文学院(The Norwegian Academy of Science and Letters)2008年3月27日宣布,将2008年度阿贝尔奖授予美国数学家John Griggs Thompson教授和法国数学家Jacques Tits,他们将分享奖金6,000,000 克郎(约1.200,000美元) 。挪威国王将于5月20日在颁奖...
挪威科学与文学院(The Norwegian Academy of Science and Letters)2008年3月27日宣布,将2008年度阿贝尔奖授予美国数学家John Griggs Thompson教授和法国数学家Jacques Tits,他们将分享奖金6,000,000 克郎(约1.200,000美元) 。挪威国王将于5月20日在颁奖仪式上,向两位获奖教授颁奖。 The ...
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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