Results 21 to 30 of about 66 (66)

A remark on the intersection of the conjugates of the base of quasi‐HNN groups

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1293-1297, 2004., 2004
Quasi‐HNN groups can be characterized as a generalization of HNN groups. In this paper, we show that if G∗ is a quasi‐HNN group of base G, then either any two conjugates of G are identical or their intersection is contained in a conjugate of an associated subgroup of G.
R. M. S. Mahmood
wiley   +1 more source

On centralizers of elements of groups acting on trees with inversions

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 20, Page 1241-1249, 2003., 2003
A subgroup H of a group G is called malnormal in G if it satisfies the condition that if g ∈ G and h ∈ H, h ≠ 1 such that ghg−1 ∈ H, then g ∈ H. In this paper, we show that if G is a group acting on a tree X with inversions such that each edge stabilizer is malnormal in G, then the centralizer C(g) of each nontrivial element g of G is in a vertex ...
R. M. S. Mahmood
wiley   +1 more source

Subgroups of quasi‐HNN groups

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 731-743, 2002., 2002
We extend the structure theorem for the subgroups of the class of HNN groups to a new class of groups called quasi‐HNN groups. The main technique used is the subgroup theorem for groups acting on trees with inversions.
R. M. S. Mahmood, M. I. Khanfar
wiley   +1 more source

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

EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS

Forum of Mathematics, Sigma, 2017
We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, that is, continuous cocycles associated to continuous affine isometric actions of topological groups on separable ...
CHRISTIAN ROSENDAL
doaj   +1 more source

Random groups and nonarchimedean lattices

Forum of Mathematics, Sigma, 2014
We consider models of random groups in which the typical group is of intermediate rank (in particular, it is not hyperbolic). These models are parallel to Gromov’s well-known constructions, and include for example a ‘density model’ for groups of ...
SYLVAIN BARRÉ, MIKAËL PICHOT
doaj   +1 more source

CANNON–THURSTON MAPS FOR KLEINIAN GROUPS

Forum of Mathematics, Pi, 2017
We show that Cannon–Thurston maps exist for degenerate free groups without parabolics, that is, for handlebody groups. Combining these techniques with earlier work proving the existence of Cannon–Thurston maps for surface groups, we show that Cannon ...
MAHAN MJ
doaj   +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