Results 31 to 40 of about 67 (67)
Thompson’s group T has quadratic Dehn function
We 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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Limit trees for free group automorphisms: universality
To 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
Given 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
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
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 $\operatorname {Out}(F_3)$
We 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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Two-sided homological properties of special and one-relator monoids
A monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of
Robert D. Gray, Benjamin Steinberg
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Extension of Paul Erdős graph on hypergroups
This 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]
Hughes S.
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Micro-CT evaluation of historical human skulls presenting signs of syphilitic infection. [PDF]
Fraberger S +6 more
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