Results 31 to 40 of about 67 (67)

Thompson’s group T has quadratic Dehn function

open access: yesForum of Mathematics, Sigma
We prove that Thompson’s group T and, more generally, all the Higman–Thompson groups $T_n$ have quadratic Dehn function.
Matteo Migliorini
doaj   +1 more source

Limit trees for free group automorphisms: universality

open access: yesForum of Mathematics, Sigma
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
doaj   +1 more source

Posets arising from decompositions of objects in a monoidal category

open access: yesForum of Mathematics, Sigma
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
doaj   +1 more source

Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings

open access: yesAnalysis 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
doaj   +1 more source

Geometry of Generated Groups with Metrics Induced by Their Cayley Color Graphs

open access: yesAnalysis 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
doaj   +1 more source

The conjugacy problem for $\operatorname {Out}(F_3)$

open access: yesForum of Mathematics, Sigma
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
doaj   +1 more source

Two-sided homological properties of special and one-relator monoids

open access: yesForum of Mathematics, Sigma
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
doaj   +1 more source

Extension of Paul Erdős graph on hypergroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
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
doaj   +1 more source

Micro-CT evaluation of historical human skulls presenting signs of syphilitic infection. [PDF]

open access: yesWien Klin Wochenschr, 2021
Fraberger S   +6 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy