Results 21 to 30 of about 45 (45)
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
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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
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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
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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
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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. +3 more
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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
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Analysis and Geometry in Metric SpacesIn 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
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On Veech groups of infinite superelliptic curves
Complex ManifoldsWe 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
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Limit pretrees for free group automorphisms: existence
Forum of Mathematics, SigmaTo 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
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Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Analysis and Geometry in Metric SpacesWe 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
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