Zobrazeno 1 - 10
of 788
pro vyhledávání: '"20E05"'
Autor:
Mutanguha, Jean Pierre
A free-by-cyclic group can often be viewed as a mapping torus of a free group automorphism (monodromy) in multiple ways. What dynamical properties must these monodromies share, and to what extent are they invariant under quasi-isometries? We give a n
Externí odkaz:
http://arxiv.org/abs/2412.16150
Autor:
Lee, Donsung
In 1974, Birman posed the problem of identifying the conditions under which a matrix with Laurent polynomial entries lies in the image of the Burau representation. Building on this, Salter, in 2021, refined the inquiry to ask whether the central quot
Externí odkaz:
http://arxiv.org/abs/2412.11853
In this note, we characterise when the kernel of a rational character of a right-anlged Artin group, also known as generalised Bestiva-Brady group, is finitely generated and finitely presented. In these cases, we exhibit a finite generating set and a
Externí odkaz:
http://arxiv.org/abs/2409.06315
Autor:
Ivanov, A.
We consider metric versions of weak soficity, LEF and residual finiteness. The main results of the paper extend Glebsky and Rivera's characterization of weak soficity to the case of normally finitely generated groups with word metrics. Metric LEF and
Externí odkaz:
http://arxiv.org/abs/2410.20249
We show that the group $\langle a,b,c,t : a^t=b,b^t=c,c^t=ca^{-1} \rangle$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-cyclic group with this property.
Comment: 4 pages. Comments welcom
Comment: 4 pages. Comments welcom
Externí odkaz:
http://arxiv.org/abs/2410.17817
Autor:
Pfaff, Catherine Eva
We describe train track automata for large classes of fully irreducible elements of Out($F_r$), and their associated geodesics in Culler-Vogtmann Outer Space.
Externí odkaz:
http://arxiv.org/abs/2409.05599
Autor:
Shaikh, Asif
This article focuses on free factors $H\leq F_m$ of the free group $F_m$ with finite rank $m > 2$, and specifically addresses the implications of Ascari's refinement of the Whitehead automorphism $\varphi$ for $H$ as introduced in \cite{ascari2021fin
Externí odkaz:
http://arxiv.org/abs/2407.16523
Autor:
Lee, Donsung
We present an algorithm that, given a prime $p$ as input, determines whether or not the Burau representation of the 3-strand braid group modulo $p$ is faithful. We also prove that the representation is indeed faithful when $p\le 13$. Additionally, we
Externí odkaz:
http://arxiv.org/abs/2406.14538
A complex number $\lambda$ is said to be non-free if the subgroup of $SL(2,\bc)$ generated by $$X=\begin{pmatrix} 1& 1\\ 0 & 1 \end{pmatrix} \,\, \text{and}\,\,\,Y_{\lambda}=\begin{pmatrix} 1& 0\\ \lambda & 1 \end{pmatrix}$$ is not a free group of ra
Externí odkaz:
http://arxiv.org/abs/2406.11378
Autor:
Puder, Doron
What is the probability that a random walk in the free group ends in a proper power? Or in a primitive element? We present a formula that computes the exponential decay rate of the probability that a random walk on a regular tree ends in a given subs
Externí odkaz:
http://arxiv.org/abs/2405.18169