Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Liousse, Isabelle"'
Autor:
Guelman, Nancy, Liousse, Isabelle
H\"older's theorem states that any group acting freely by circle homeomorphisms is abelian, this is no longer true for interval exchange transformations: we first give examples of free actions of non abelian groups. Then after noting that finitely ge
Externí odkaz:
http://arxiv.org/abs/2305.04642
Let $I=[0,1)$ and $\mathcal{PC}(I)$ [resp. $\mathcal{PC}^+(I)$] be the quotient group of the group of all piecewise continuous [resp. piecewise continuous and orientation preserving] bijections of $I$ by its normal subgroup consisting in elements wit
Externí odkaz:
http://arxiv.org/abs/2109.05706
Autor:
Guelman, Nancy, Liousse, Isabelle
Let $\mathcal G$ be the group of all Interval Exchange Transformations. Results of Arnoux-Fathi ([Arn81b]), Sah ([Sah81]) and Vorobets ([Vor17]) state that $\mathcal G_0$ the subgroup of $\mathcal G$ generated by its commutators is simple. In [Arn81b
Externí odkaz:
http://arxiv.org/abs/1910.08923
Autor:
Guelman, Nancy, Liousse, Isabelle
An element $f$ of a group $G$ is reversible if it is conjugated in $G$ to its own inverse; when the conjugating map is an involution, $f$ is called strongly reversible. We describe reversible maps in certain groups of interval exchange transformation
Externí odkaz:
http://arxiv.org/abs/1907.01808
Autor:
Hmili, Hajer, Liousse, Isabelle
We extend a result of Matucci on the number of conjugacy classes of finite order elements in the Thompson group $T$. According to Liousse, if $ gcd(m-1,q)$ is not a divisor of $r$ then there does not exist element of order $q$ in the Brown-Thompson g
Externí odkaz:
http://arxiv.org/abs/1809.08584
Autor:
Guelman, Nancy, Liousse, Isabelle
In this paper, we study distortion in the group $\mathcal A$ of Affine Interval Exchange Transformations (AIET). We prove that any distorted element $f$ of $\mathcal A$, has an iterate $f^ k$ that is conjugate by an element of $\mathcal A$ to a produ
Externí odkaz:
http://arxiv.org/abs/1705.00144
Autor:
Guelman, Nancy, Liousse, Isabelle
We consider $f, h$ homeomorphims generating a faithful $BS(1,n)$-action on a closed surface $S$, that is, $h f h^{-1} = f^n$, for some $ n\geq 2$. According to \cite{GL}, after replacing $f$ by a suitable iterate if necessary, we can assume that ther
Externí odkaz:
http://arxiv.org/abs/1703.09037
Akademický článek
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Autor:
Guelman, Nancy, Liousse, Isabelle
A group $\Gamma$ is said to be periodic if for any $g$ in $\Gamma$ there is a positive integer $n$ with $g^n=id$. We first prove that a finitely generated periodic group acting on the 2-sphere $\SS^2$ by $C^1$-diffeomorphisms with a finite orbit, is
Externí odkaz:
http://arxiv.org/abs/1404.1224
Autor:
Hmili, Hajer1 hajermido@yahoo.fr, Liousse, Isabelle2 isabelle.liousse@univ-lille.fr
Publikováno v:
Bulletin of the Belgian Mathematical Society - Simon Stevin. Dec2022, Vol. 29 Issue 4, p555-561. 7p.
