Results 21 to 30 of about 67 (67)

On invertor elements and finitely generated subgroups of groups acting on trees with inversions

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 9, Page 585-595, 2000., 2000
An element of a group acting on a graph is called invertor if it transfers an edge of the graph to its inverse. In this paper, we show that if G is a group acting on a tree X with inversions such that G does not fix any element of X, then an element g of G is invertor if and only if g is not in any vertex stabilizer of G and g2 is in an edge stabilizer
R. M. S. Mahmood, M. I. Khanfar
wiley   +1 more source

On geometric polygroups

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction.
Arabpur F., Jafarpour M., Aminizadeh M., Hoskova-Mayerova S.   +3 more
doaj   +1 more source

Metric lines in the jet space

Analysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

On Veech groups of infinite superelliptic curves

Complex Manifolds
We study infinite superelliptic curves as translation surfaces and explore their Veech groups. These objects are branched covering of the complex plane, branching over infinitely many points.
Maluendas Camilo Ramírez
doaj   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Analysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

Tree-like graphings, wallings, and median graphings of equivalence relations

Forum of Mathematics, Sigma
We prove several results showing that every locally finite Borel graph whose large-scale geometry is ‘tree-like’ induces a treeable equivalence relation.
Ruiyuan Chen, Antoine Poulin, Ran Tao, Anush Tserunyan   +3 more
doaj   +1 more source

Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups

Analysis and Geometry in Metric Spaces
We show that infinite cyclic subgroups of groups acting uniformly properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions on the ...
Abbott Carolyn, Hagen Mark, Petyt Harry, Zalloum Abdul   +3 more
doaj   +1 more source

Hyperfiniteness of boundary actions of acylindrically hyperbolic groups

Forum of Mathematics, Sigma
We prove that, for any countable acylindrically hyperbolic group G, there exists a generating set S of G such that the corresponding Cayley graph $\Gamma (G,S)$ is hyperbolic, $|\partial \Gamma (G,S)|>2$ , the natural action of G on ...
Koichi Oyakawa
doaj   +1 more source

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

Forum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +1 more source