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pro vyhledávání: '"Guirardel , Vincent"'
Autor:
André, Simon, Guirardel, Vincent
Publikováno v:
Compositio Math. 160 (2024) 1941-1957
We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple, has exactly four conjugacy classes, and we show that this number is as
Externí odkaz:
http://arxiv.org/abs/2212.06020
Autor:
Guirardel, Vincent, Horbez, Camille
We prove that for every $N\ge 3$, the group $\mathrm{Out}(F_N)$ of outer automorphisms of a free group of rank $N$ is superrigid from the point of view of measure equivalence: any countable group that is measure equivalent to $\mathrm{Out}(F_N)$, is
Externí odkaz:
http://arxiv.org/abs/2103.03696
This paper is devoted to the first-order theory of torsion-free hyperbolic groups. One of its purposes is to review some results and to provide precise and correct statements and definitions, as well as some proofs and new results. A key concept is t
Externí odkaz:
http://arxiv.org/abs/2007.14148
Publikováno v:
Journal of Modern Dynamics, 2022, 18: 291-344
We prove a rigidity result for cocycles from higher rank lattices to $\mathrm{Out}(F_N)$ and more generally to the outer automorphism group of a torsion-free hyperbolic group. More precisely, let $G$ be either a product of connected higher rank simpl
Externí odkaz:
http://arxiv.org/abs/2005.07477
We construct embeddings of surface groups into the group of germs of analytic diffeomorphisms in one variable.
Externí odkaz:
http://arxiv.org/abs/1909.01581
Consider an algebraically closed field k and the Cremona group of all birational transformations of the projective plane over k. We characterize infinite order elements of this group having a non-zero power generating a proper normal subgroup of the
Externí odkaz:
http://arxiv.org/abs/1907.03450
Autor:
Guirardel, Vincent, Levitt, Gilbert
We show that, if $H$ is a random subgroup of a finitely generated free group $F_k$, only inner automorphisms of $F_k$ may leave $H$ invariant. A similar result holds for random subgroups of toral relatively hyperbolic groups, more generally of groups
Externí odkaz:
http://arxiv.org/abs/1906.09654
Autor:
Guirardel, Vincent, Horbez, Camille
Publikováno v:
Geom. Topol. 26 (2022) 71-126
Given a countable group $G$ splitting as a free product $G=G_1\ast\dots\ast G_k\ast F_N$, we establish classification results for subgroups of the group $Out(G,\mathcal{F})$ of all outer automorphisms of $G$ that preserve the conjugacy classes of eac
Externí odkaz:
http://arxiv.org/abs/1901.05046
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