Výsledky vyhledávání - "Yves Stalder"

Akademický článek

A characterization of high transitivity for groups acting on trees

Autor: Pierre Fima, François Le Maître, Soyoung Moon, Yves Stalder

Publikováno v: Discrete Analysis (2022)

A characterization of high transitivity for groups acting on trees, Discrete Analysis 2022:8, 63 pp. Consider the group of all permutations of a countable set $X$ that leave all but a finite number of points fixed. This is a countable group, and for

Externí odkaz: https://doaj.org/article/2466e6502c024f97b1d2f10eaea0591d

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Homogeneous actions on the random graph

Autor: Pierre Fima, Soyoung Moon, Yves Stalder

Publikováno v: Groups, Geometry, and Dynamics
Groups, Geometry, and Dynamics, European Mathematical Society, 2021, 15 (1), pp.1-34. ⟨10.4171/GGD/589⟩
Groups, Geometry, and Dynamics, 2021, 15 (1), pp.1-34. ⟨10.4171/GGD/589⟩

We show that any free product of two countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00b71493f550ab4304d455d822efcdf5
https://doi.org/10.4171/ggd/589

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Highly transitive actions of groups acting on trees

Autor: Yves Stalder, Soyoung Moon, Pierre Fima

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2015, 143 (12), pp.5083-5095. ⟨10.1090/proc/12659⟩
Proceedings of the American Mathematical Society, 2015, 143 (12), pp.5083-5095. ⟨10.1090/proc/12659⟩

We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable set. This result is actually true for infinite vertex stabilizers and so

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6cf160ae72e6bed5d334e152e3e1f34
https://doi.org/10.1090/proc/12659

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Highly transitive actions of free products

Autor: Soyoung Moon, Yves Stalder

Publikováno v: Algebraic and Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2013, 13 (1), pp.589-607. ⟨10.2140/agt.2013.13.589⟩
Algebr. Geom. Topol. 13, no. 1 (2013), 589-607
Algebraic and Geometric Topology, 2013, 13 (1), pp.589-607. ⟨10.2140/agt.2013.13.589⟩

We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group $\PSL_2(\Z)\simeq (\Z/2\Z)*(\Z/3\Z)$ admits a faithful and highly transitive action on a countable set.
Comment: 15 pages, 4 f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd5e52fb02f7efd411104fc489b3425d
https://hal.archives-ouvertes.fr/hal-01902213

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Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups

Autor: Yves Stalder, Luc Guyot

Publikováno v: Groups, Geometry, and Dynamics
Groups, Geometry, and Dynamics, European Mathematical Society, 2012, 6 (2), pp.533-577. ⟨10.4171/GGD/165⟩
Groups, Geometry, and Dynamics, 2012, 6 (2), pp.533-577. ⟨10.4171/GGD/165⟩

We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes. We exhibit infinite presentations for these groups, classify them up to group isom

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::439e181c915d5dc577d256d3b40b45be
https://hal.archives-ouvertes.fr/hal-00473058/file/GGD-2012-006-003-04.pdf

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Proper actions of wreath products and generalizations

Autor: Alain Valette, Yves de Cornulier, Yves Stalder

Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2012, 364 (6), pp.3159-3184. ⟨10.1090/S0002-9947-2012-05475-4⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2012, 364 (6), pp.3159-3184. ⟨10.1090/S0002-9947-2012-05475-4⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2012, 364 (6), pp.3159-3184
Trans. Amer. Math. Soc.

We study stability properties of the Haagerup property and of coarse embeddability in a Hilbert space, under certain semidirect products. In particular, we prove that they are stable under taking standard wreath products. Our construction also allows

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Fixed point properties in the space of marked groups

Autor: Yves Stalder

Publikováno v: Limits of graphs in group theory and computer science Proc. Special semester at Centre Bernoulli (Lausanne), Jan-June 2007
Goulnara Arzhantseva and Alain Valette. Limits of graphs in group theory and computer science Proc. Special semester at Centre Bernoulli (Lausanne), Jan-June 2007, Presses polytechniques et universitaires romandes, pp.171--182, 2009
Yves Stalder

The only modification from previous version is section numbering, in order to agree with the published version.; We explain, following Gromov, how to produce uniform isometric actions of groups starting from isometric actions without fixed point, usi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f3f0ecc04ba90db8f0d3dd1f9304729b
https://hal.archives-ouvertes.fr/hal-00264907v3/document

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Wreath products with the integers, proper actions and Hilbert space compression

Autor: Alain Valette, Yves Stalder

Publikováno v: Geometriae Dedicata
Geometriae Dedicata, Springer Verlag, 2007, 124, pp.199-211. ⟨10.1007/s10711-006-9119-3⟩
Geometriae Dedicata, 2007, 124, pp.199-211. ⟨10.1007/s10711-006-9119-3⟩

We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with \Z. We also give a lower bound for the (equivariant) Hilbert space compression of H\wr\Z in t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8912adf4b5af116a16c1879e6c9d5ae
https://hal.archives-ouvertes.fr/hal-00472504/file/Wreath_products.pdf

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Proper actions of lamplighter groups associated with free groups

Autor: Yves de Cornulier, Yves Stalder, Alain Valette

Publikováno v: Comptes rendus de l'Académie des sciences. Série I, Mathématique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2008, 346 (3-4), pp.173-176

Given a finite group $H$ and a free group $F_n$, we prove that the wreath product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert space.
Comment: 6 pages. The part on Hilbert space compression from the first version of this

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Convergence of Baumslag-Solitar groups

Autor: Yves Stalder

Publikováno v: Bulletin of the Belgian Mathematical Society-Simon Stevin
Bulletin of the Belgian Mathematical Society-Simon Stevin, Belgian Mathematical Society, 2006, 13, pp.221-233. ⟨10.36045/bbms/1148059458⟩
Bull. Belg. Math. Soc. Simon Stevin 13, no. 2 (2006), 221-233

We study convergent sequences of Baumslag-Solitar groups in the space of marked groups. We prove that BS(m,n) --> F_2 for |m|,|n| --> \infty and BS(1,n) --> Z \wr Z for |n| --> \infty. For m fixed, |m|>1, we show that the sequence (BS(m,n))_n is not

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::571e85e7a363b7e4d63fe81efc4ffe19
https://hal.archives-ouvertes.fr/hal-00472505

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