Results 21 to 30 of about 356,127 (251)
DIVERSIFICATION INTO THE GENUS Badnavirus: PHYLOGENY AND POPULATION GENETIC VARIABILITY
Ciência Agrícola, 2019 Badnaviruses (family Caulimoviridae) have semicircular dsDNA genomes encapsidated into bacilliform particles. The genus Badnavirus is the most important due to its high number of species reported infecting cultivated plants worldwide. This study aimed to
Caio Henrique Loureiro de Hollanda Ferreira +6 more
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Locally compact groups acting on trees [PDF]
Pacific Journal of Mathematics, 1982 Following Serre's original description of groups having the fixed point property for actions on trees, Bass has introduced the notion of a group of type FA'. Groups of type FA' can not be nontrivial free products with amalgamation. We show that a locally compact (hausdorff) topological group with a compact set of connected components is of type FA ...
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On knot groups acting on trees
Journal of Knot Theory and Its Ramifications, 2020 A finitely generated group [Formula: see text] acting on a tree with infinite cyclic edge and vertex stabilizers is called a generalized Baumslag–Solitar group (GBS group). We prove that a one-knot group [Formula: see text] is a GBS group if and only if [Formula: see text] is a torus knot group, and describe all n-knot GBS groups for [Formula: see ...
Fedor A. Dudkin, Andrey S. Mamontov
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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, 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
R. M. S. Mahmood, M. I. Khanfar
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International Journal of Mathematics and Mathematical Sciences, 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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GROUPS ACTING ON TREES WITH PRESCRIBED LOCAL ACTION
Journal of the Australian Mathematical Society, 2022 AbstractWe extend the Burger–Mozes theory of closed, nondiscrete, locally quasiprimitive automorphism groups of locally finite, connected graphs to the semiprimitive case, and develop a generalization of Burger–Mozes universal groups acting on the regular tree $T_{d}$ of degree $d\in \mathbb {N}_{\ge 3}$ . Three applications are given.
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On the Positive Theory of Groups Acting on Trees [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we study the positive theory of groups acting on trees and show that under the presence of weak small cancellation elements, the positive theory of the group is trivial, that is, coincides with the positive theory of a non-abelian free group.
Casals-Ruiz, Montserrat +2 more
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Amenable hyperbolic groups [PDF]
, 2013 We give a complete characterization of the locally compact groups that are non-elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover
Caprace, Pierre-Emmanuel +3 more
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New examples of groups acting on real trees
, 2015 We construct the first example of a finitely generated group which has Serre's property (FA) (i.e., whenever it acts on a simplicial tree it fixes a vertex), but admits a fixed point-free action on an $\mathbb{R}$-tree with finite arc stabilizers.
Minasyan, Ashot
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Scientia Agricola, 2010 Ecological theories of facilitation and nucleation are proposed as a basis for environmental restoration in tropical ecosystems. The main goal of this paper is to present restoration techniques based on the concept of nucleation, in which small nuclei of
Ademir Reis +2 more
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