Results 21 to 30 of about 32,029 (237)
The cohomology of groups acting on trees
Journal of Pure and Applied Algebra, 1975 exaly +3 more sources
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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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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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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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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a-T-menability of groups acting on trees [PDF]
Bulletin of the Australian Mathematical Society, 2004 We present some partial results concerning a-T-menability of groups acting on trees. Various known results are given uniform proofs.
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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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Highly transitive actions of groups acting on trees [PDF]
Proceedings of the American Mathematical Society, 2015 We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable set. This result is actually true for infinite vertex stabilizers and some more general, finite of infinite, edge stabilizers that we call highly core-free. We study the notion
Fima, Pierre +2 more
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Zeta Functions of Discrete Groups Acting on Trees
Journal of Algebra, 2001 This paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree.
Clair, Bryan, Mokhtari-Sharghi, Shahriar
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