Results 11 to 20 of about 251 (25)

Double cosets in free groups [PDF]

, 2013
In this paper we study double cosets of finite rank free groups. We focus our attention on cancellation types in double cosets and their formal language properties.Comment: Minor ...
Frenkel, Elizaveta, Remeslennikov, Vladimir N.   +1 more
core   +1 more source

Big Free Groups are Almost Free [PDF]

, 2015
It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism.
Tlas, Tamer
core   +3 more sources

Extensions of positive definite functions on amenable groups

, 2008
Let $S$ be a subset of a amenable group $G$ such that $e\in S$ and $S^{-1}=S$. The main result of the paper states that if the Cayley graph of $G$ with respect to $S$ has a certain combinatorial property, then every positive definite operator-valued ...
D. Timotin, Dixmier, Golumbic, M. Bakonyi, Rudin   +4 more
core   +1 more source

Limit trees for free group automorphisms: universality

Forum of Mathematics, Sigma
To any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group with trivial arc stabilizers; second, there is a unique expanding dilation ...
Jean Pierre Mutanguha
doaj   +1 more source

On C*-algebras related to constrained representations of a free group

, 2010
We consider representations of the free group $F_2$ on two generators such that the norm of the sum of the generators and their inverses is bounded by $\mu\in[0,4]$.
Chao You, H. Kesten, J. Cuntz, R. Exel, V. M. Manuilov   +4 more
core   +1 more source

The conjugacy problem for $\operatorname {Out}(F_3)$

Forum of Mathematics, Sigma
We present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani, Stefano Francaviglia, Armando Martino, Nicholas Touikan   +3 more
doaj   +1 more source

On an action of the braid group B_{2g+2} on the free group F_{2g}

, 2013
We construct an action of the braid group B_{2g+2} on the free group F_{2g} extending an action of B_4 on F_2 introduced earlier by Reutenauer and the author.
Birman J. S., Birman J. S., CHRISTIAN KASSEL, Magnus W.   +3 more
core   +1 more source

Achievable ranks of intersections of finitely generated free groups [PDF]

, 2003
We answer a question due to A. Myasnikov by proving that all expected ranks occur as the ranks of intersections of finitely generated subgroups of free groups.Comment: 4 pages, 4 ...
Kent IV, Richard P.
core  

The Tits alternative for generalized triangle groups of type (3, 4, 2) [PDF]

, 2008
A generalized triangle group is a group that can be presented in the form G = h x, y | xp = yq = w(x, y)r = 1 i where p, q, r ? 2 and w(x, y) is a cyclically reduced word of length at least 2 in the free product Zp ?
Howie, J, Williams, G
core   +1 more source

The Topology of Parabolic Character Varieties of Free Groups

, 2012
Let G be a complex affine algebraic reductive group, and let K be a maximal compact subgroup of G. Fix elements h_1,...,h_m in K. For n greater than or equal to 0, let X (respectively, Y) be the space of equivalence classes of representations of the free
A Hatcher, A Neeman, C Florentino, Carlos Florentino, CT Simpson, EH Spanier, I Biswas, I Biswas, I Biswas, Indranil Biswas, IR Shafarevich, Marina Logares, R Steinberg, RL Benedetto, S Lawton, S Lawton, S Lawton, Sean Lawton, V Fock   +18 more
core   +1 more source