Zobrazeno 1 - 10
of 15
pro vyhledávání: '"François Le Maître"'
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
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 173:239-296
In finite group theory, chief factors play an important and well-understood role in the structure theory. We here develop a theory of chief factors for Polish groups. In the development of this theory, we prove a version of the Schreier refinement th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41304e57df9eda328bba95118d41ab78
https://doi.org/10.1017/s0305004121000505
https://doi.org/10.1017/s0305004121000505
Publikováno v:
Colloquium Mathematicum
Colloquium Mathematicum, 2021, 167 (1), pp.21-61. ⟨10.4064/cm7706-1-2021⟩
Colloquium Mathematicum, 2021, 167 (1), pp.21-61. ⟨10.4064/cm7706-1-2021⟩
We show that many countable groups acting on trees, including free products of infinite countable groups and surface groups, are isomorphic to dense subgroups of isometry groups of bounded Urysohn spaces. This extends previous results of the first an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::864fa192e8d0d9a0a54cc38db4cef020
https://hal.archives-ouvertes.fr/hal-03467614
https://hal.archives-ouvertes.fr/hal-03467614
We verify a conjecture of Vershik by showing that Hall's universal countable locally finite group can be embedded as a dense subgroup in the isometry group of the Urysohn space and in the automorphism group of the random graph. In fact, we show the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54dc54cc675f9165085af600f33f2745
http://arxiv.org/abs/2004.14138
http://arxiv.org/abs/2004.14138
Autor:
Tsachik Gelander, François Le Maître
Publikováno v:
Topology and its Applications. 218:97-113
We show that connected separable locally compact groups are infinitesimally finitely generated, meaning that there is an integer n such that every neighborhood of the identity contains n elements generating a dense subgroup. We generalize a theorem o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a7d6d67bca543ade068048f44ecfa1b
https://doi.org/10.1016/j.topol.2016.12.019
https://doi.org/10.1016/j.topol.2016.12.019
Autor:
François Le Maître
We pursue the study of $\mathrm L^1$ full groups of graphings and of the closures of their derived groups, which we call derived $\mathrm L^1$ full groups. Our main result shows that aperiodic probability measure-preserving actions of finitely genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4908280071b1f4f0e902d56950456a4
Autor:
François Le Maître, Adriane Kaïchouh
Publikováno v:
Bulletin of the London Mathematical Society. 47:996-1009
In this paper, we give the first examples of connected Polish groups that have ample generics, answering a question of Kechris and Rosendal. We show that any Polish group with ample generics embeds into a connected Polish group with ample generics an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bd9e80cd34d55f82cb1b52f750760cc
https://doi.org/10.1112/blms/bdv078
https://doi.org/10.1112/blms/bdv078
Autor:
François Le Maître
Publikováno v:
Ergodic Theory and Dynamical Systems. 36:2218-2245
This article generalizes our previous results [Le Maître. The number of topological generators for full groups of ergodic equivalence relations. Invent. Math. 198 (2014), 261–268] to the non-ergodic case by giving a formula relating the topologica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74fccb43d2aaebf0f6c56da63ce8be07
https://doi.org/10.1017/etds.2015.20
https://doi.org/10.1017/etds.2015.20
Autor:
François Le Maître
We initiate the study of a measurable analogue of small topological full groups that we call $\mathrm L^1$ full groups. These groups are endowed with a Polish group topology which admits a natural complete right invariant metric. We mostly focus on $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1394108c446679fcf51f5c2bda8aa403
http://arxiv.org/abs/1608.07399
http://arxiv.org/abs/1608.07399
Autor:
François Le Maître
In this paper, we show that every measure-preserving ergodic equivalence relation of cost less than m comes from a "rich" faithful invariant random subgroup of the free group on m generators, strengthening a result of Bowen which had been obtained by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56231e6e42152e412fc786a96d0343cb