Results 41 to 50 of about 1,422 (58)
Thompson’s group T has quadratic Dehn function
Forum of Mathematics, SigmaWe prove that Thompson’s group T and, more generally, all the Higman–Thompson groups $T_n$ have quadratic Dehn function.
Matteo Migliorini
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Failure of separation by quasi-homomorphisms in mapping class groups
, 2006 We show that mapping class groups of surfaces of genus at least two contain elements of infinite order that are not conjugate to their inverses, but whose powers have bounded torsion lengths. In particular every homogeneous quasi-homomorphism vanishes on
Endo, H., Kotschick, D.
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Limit trees for free group automorphisms: universality
Forum of Mathematics, SigmaTo any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group with trivial arc stabilizers; second, there is a unique expanding dilation ...
Jean Pierre Mutanguha
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Posets arising from decompositions of objects in a monoidal category
Forum of Mathematics, SigmaGiven a symmetric monoidal category ${\mathcal C}$ with product $\sqcup $ , where the neutral element for the product is an initial object, we consider the poset of $\sqcup $ -complemented subobjects of a given object X.
Kevin Ivan Piterman, Volkmar Welker
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Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings
Analysis and Geometry in Metric Spaces, 2019 The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups.
Mimura Masato, Sako Hiroki
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Geometry of Generated Groups with Metrics Induced by Their Cayley Color Graphs
Analysis and Geometry in Metric Spaces, 2019 Let G be a group and let S be a generating set of G. In this article,we introduce a metric dC on G with respect to S, called the cardinal metric.We then compare geometric structures of (G, dC) and (G, dW), where dW denotes the word metric. In particular,
Suksumran Teerapong
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The conjugacy problem for $\operatorname {Out}(F_3)$
Forum of Mathematics, SigmaWe present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani +3 more
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Uniformly exponential growth and mapping class groups of surfaces
, 2005 We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups.
Anderson, James W. +2 more
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Extension of Paul Erdős graph on hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis paper introduces ultra non-commutative graphs derived from ultra non-commutative hypergroups. Vertices represent ultra non -commutative elements of the hypergroup U, defined as AU = {x ∈ U |Ǝy ∈ U, y ○ x ∩ x ○ y = ∅}. An edge connects vertices x and
Shamsadini S. +3 more
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Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]
Bull Lond Math Soc, 2022 Hughes S.
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