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FAST GROWTH IN THE FOLNER FUNCTION FOR THOMPSON’S GROUP F
FAST GROWTH FOLNER FUNCTION THOMPSON’S GROUP F
2015/8/17
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 ...
Thompson's group F and Linear group GL_{infty}(ZZ)
Thompson's group F Word-metric Lipschitz map
2011/10/20
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...
On finite decomposition complexity of Thompson's group F
Thompson's group F Finite decomposition complexity Word-metric Exact metric spaces Reduced forest diagram
2011/10/20
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 wreath product in Thompson's group F
Thompson's group F restricted wreath product quasi-isometrically embedded
2011/10/20
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...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
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 ...
Centralizers in R. Thompson's group V_n
Centralizers R. Thompson's group Group Theory Dynamical Systems
2011/8/25
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...
On Explicit Holmes-Thompson Area Formula in Integral Geometry
Minkowski space Holmes-Thompson Volume symplectic structure
2010/12/13
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 ...
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Cohomological finiteness properties Brin-Thompson-Higman groups 2V 3V
2010/12/10
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...
A Metric Inequality for the Thompson and Hilbert Geometries
Hilbert geometry Thompson's part metric Cone metric Non-positive curvature Finsler space
2008/7/3
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...
Some Geometric Inequalities For The Holmes-Thompson Definitions Of Volume And Surface Area In Minkowski Spaces
Convex body Isoperimetrix Mixed volume Projection body the Holmes-Thompson definitions of volume and surface area
2008/6/27
Some Geometric Inequalities For The Holmes-Thompson Definitions Of Volume And Surface Area In Minkowski Spaces.
各向异性相态场模型的Gibbs-Thompson关系
各向异性 相态场 Gibbs-Thompson关系 奇异摄动 内、外解匹配
2007/12/11
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.