Results 21 to 30 of about 440 (53)
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
The set of stable primes for polynomial sequences with large Galois group
, 2017 Let $K$ be a number field with ring of integers $\mathcal O_K$, and let $\{f_k\}_{k\in \mathbb N}\subseteq \mathcal O_K[x]$ be a sequence of monic polynomials such that for every $n\in \mathbb N$, the composition $f^{(n)}=f_1\circ f_2\circ\ldots\circ f_n$
Ferraguti, Andrea
core +1 more source
The Poisson boundary of lamplighter random walks on trees
, 2006 Let T be the homogeneous tree with degree and G a finitely generated group whose Cayley graph is T. The associated lamplighter group is the wreath product of the cyclic group of order r with G.
Karlsson, Anders, Woess, Wolfgang
core +2 more sources
Genericity of Filling Elements [PDF]
, 2010 An element of a finitely generated non-Abelian free group F(X) is said to be filling if that element has positive translation length in every very small action of F(X) on an $\mathbb{R}$-tree.
Solie, Brent B.
core
Generalized iterated wreath products of symmetric groups and generalized rooted trees correspondence
, 2018 Consider the generalized iterated wreath product $S_{r_1}\wr \ldots \wr S_{r_k}$ of symmetric groups. We give a complete description of the traversal for the generalized iterated wreath product.
A Kleshchev +21 more
core +1 more source
Scales for co-compact embeddings of virtually free groups
, 2006 Let $\Gamma$ be a group which is virtually free of rank at least 2 and let $\mathcal{F}_{td}(\Gamma)$ be the family of totally disconnected, locally compact groups containing $\Gamma$ as a co-compact lattice.
A. Furman +9 more
core +3 more sources
A very short proof of Forester's rigidity result
, 2003 The deformation space of a simplicial G-tree T is the set of G-trees which can be obtained from T by some collapse and expansion moves, or equivalently, which have the same elliptic subgroups as T.
Karrass, Scott, Vincent Guirardel
core +7 more sources
Retracts of vertex sets of trees and the almost stability theorem
, 2006 Let G be a group, let T be an (oriented) G-tree with finite edge stabilizers, and let VT denote the vertex set of T. We show that, for each G-retract V' of the G-set VT, there exists a G-tree whose edge stabilizers are finite and whose vertex set is V ...
Dunwoody M. J. +3 more
core +1 more source
Cutting up graphs revisited - a short proof of Stallings' structure theorem [PDF]
, 2010 This is a new and short proof of the main theorem of classical structure tree theory. Namely, we show the existence of certain automorphism-invariant tree-decompositions of graphs based on the principle of removing finitely many edges.
Krön, Bernhard
core
Hierarchies and semistability of relatively hyperbolic groups
, 2019 A finitely presented group is semistable if all proper rays in the Cayley 2-complex are properly homotopic. A long standing open question asks whether all finitely presented groups are semistable.
Hruska, G. Christopher, Ruane, Kim
core