Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Rivas, Cristobal"'
Given a finitely generated group $G$, the possible actions of $G$ on the real line (without global fixed points), considered up to semi-conjugacy, can be encoded by the space of orbits of a flow on a compact space $(Y, \Phi)$ naturally associated wit
Externí odkaz:
http://arxiv.org/abs/2306.03846
Let $G$ be a torsion-free, finitely-generated, nilpotent and metabelian group. In this work we show that $G$ embeds into the group of orientation preserving $C^{1+\alpha}$-diffeomorphisms of the compact interval, for all $\alpha< 1/k$ where $k$ is th
Externí odkaz:
http://arxiv.org/abs/2305.00342
We prove a structural result for orientation-preserving actions of finitely generated solvable groups on real intervals, considered up to semi-conjugacy. As applications we obtain new answers to a problem first considered by J. F. Plante, which asks
Externí odkaz:
http://arxiv.org/abs/2209.00091
We show that if $G_1$ and $G_2$ are non-solvable groups, then no $C^{1,\tau}$ action of $(G_1\times G_2)*\mathbb{Z}$ on $S^1$ is faithful for $\tau>0$. As a corollary, if $S$ is an orientable surface of complexity at least three then the critical reg
Externí odkaz:
http://arxiv.org/abs/2104.15073
We prove various results that, given a sufficiently rich subgroup $G$ of the group of homeomorphisms on the real line, describe the structure of the other possible actions of $G$ on the line, and address under which conditions such actions must be se
Externí odkaz:
http://arxiv.org/abs/2104.14678
A regular left-order on finitely generated group $G$ is a total, left-multiplication invariant order on $G$ whose corresponding positive cone is the image of a regular language over the generating set of the group under the evaluation map. We show th
Externí odkaz:
http://arxiv.org/abs/2104.04475
The goal of this article is to exhibit two new families of finitely generated simple groups of homeomorphisms of $\mathbf{R}$. These families are strikingly different from existing families owing to the nature of their actions on $\mathbf{R}$, and ex
Externí odkaz:
http://arxiv.org/abs/2102.02419
We address the problem of computing the critical regularity of groups of homeomorphisms of the interval. Our main result is that if $H$ and $K$ are two non-solvable groups then a faithful $C^{1,\tau}$ action of $H\times K$ on a compact interval $I$ i
Externí odkaz:
http://arxiv.org/abs/2010.05722
Publikováno v:
In Journal of Algebra 1 December 2023 635:1-22
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