Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Triestino, Michele"'
Let $G$ be a countable group with no finitely generated subgroup of exponential growth. We show that every action of $G$ on a countable set preserving a linear (respectively, circular) order can be realised as the restriction of some action by $C^1$
Externí odkaz:
http://arxiv.org/abs/2410.02614
A subgroup of $\mathrm{Homeo}_+(\mathbb{S}^1)$ is M\"obius-like if every element is conjugate to an element of $\mathrm{PSL}(2,\mathbb{R})$. In general, a M\"obius-like subgroup of $\mathrm{Homeo}_+(\mathbb{S}^1)$ is not necessarily (semi-)conjugate
Externí odkaz:
http://arxiv.org/abs/2306.11517
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
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
Autor:
Triestino, Michele
For a certain class of groups of piecewise linear homeomorphisms of the interval, we prove that they admit no sufficiently regular faithful action on the line. Building on previous work of Brum, Matte Bon, Rivas, and the author [arXiv:2104.14678], th
Externí odkaz:
http://arxiv.org/abs/2204.03078
Autor:
Mann, Kathryn, Triestino, Michele
We show that the action of the group $\Gamma=\langle a,b,c\mid a^2=b^3=c^7=abc\rangle$ on its space of left-orders has exactly two minimal components.
Comment: 4 pages; title changed; final version to appear in Fund. Math
Comment: 4 pages; title changed; final version to appear in Fund. Math
Externí odkaz:
http://arxiv.org/abs/2204.03058
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
Autor:
Alvarez, Sébastien, Barrientos, Pablo G., Filimonov, Dmitry, Kleptsyn, Victor, Malicet, Dominique, Meniño, Carlos, Triestino, Michele
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe s
Externí odkaz:
http://arxiv.org/abs/2104.03348
Akademický článek
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Autor:
Triestino, Michele
In [Ann. Math. 190 (2019), 657-661], James Hyde presented the first example of non-left-orderable, finitely generated subgroup of $\mathrm{Homeo}(D,\partial D)$, the group of homeomorphisms of the disk fixing the boundary. This implies that the group
Externí odkaz:
http://arxiv.org/abs/1912.05386