Geometry & Topology Volume 27, issue 6 (2023)

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On dense totipotent free subgroups in full groups

Alessandro Carderi, Damien Gaboriau and François Le Maître

Geometry & Topology 27 (2023) 2297–2318

DOI: 10.2140/gt.2023.27.2297

Bibliography

1	M Abért, Y Glasner, B Virág, Kesten’s theorem for invariant random subgroups, Duke Math. J. 163 (2014) 465 MR3165420
2	L Bowen, Invariant random subgroups of the free group, Groups Geom. Dyn. 9 (2015) 891 MR3420547
3	L Bowen, R Grigorchuk, R Kravchenko, Invariant random subgroups of lamplighter groups, Israel J. Math. 207 (2015) 763 MR3359717
4	L Bowen, R Grigorchuk, R Kravchenko, Characteristic random subgroups of geometric groups and free abelian groups of infinite rank, Trans. Amer. Math. Soc. 369 (2017) 755 MR3572253
5	M L Condic, Totipotency: what it is and what it is not, Stem Cells and Development 23 (2014) 796
6	H A Dye, On groups of measure preserving transformations, I, Amer. J. Math. 81 (1959) 119 MR131516
7	A Eisenmann, Y Glasner, Generic IRS in free groups, after Bowen, Proc. Amer. Math. Soc. 144 (2016) 4231 MR3531175
8	D Gaboriau, Coût des relations d’équivalence et des groupes, Invent. Math. 139 (2000) 41 MR1728876
9	D Gaboriau, Orbit equivalence and measured group theory, from: "Proceedings of the International Congress of Mathematicians, III" (editors R Bhatia, A Pal, G Rangarajan, V Srinivas, M Vanninathan), Hindustan (2010) 1501 MR2827853
10	E Glasner, B Weiss, Uniformly recurrent subgroups, from: "Recent trends in ergodic theory and dynamical systems" (editors S Bhattacharya, T Das, A Ghosh, R Shah), Contemp. Math. 631, Amer. Math. Soc. (2015) 63 MR3330338
11	A S Kechris, Global aspects of ergodic group actions, 160, Amer. Math. Soc. (2010) MR2583950
12	A S Kechris, B D Miller, Topics in orbit equivalence, 1852, Springer (2004) MR2095154
13	A S Kechris, V Quorning, Co-induction and invariant random subgroups, Groups Geom. Dyn. 13 (2019) 1151 MR4033500
14	J Kittrell, T Tsankov, Topological properties of full groups, Ergodic Theory Dynam. Systems 30 (2010) 525 MR2599891
15	F Le Maître, The number of topological generators for full groups of ergodic equivalence relations, Invent. Math. 198 (2014) 261 MR3274561
16	F Le Maître, Sur les groupes pleins préservant une mesure de probabilité, PhD thesis, ENS Lyon (2014)
17	F Le Maître, On full groups of non-ergodic probability-measure-preserving equivalence relations, Ergodic Theory Dynam. Systems 36 (2016) 2218 MR3568978
18	F Le Maître, Highly faithful actions and dense free subgroups in full groups, Groups Geom. Dyn. 12 (2018) 207 MR3781421
19	D S Ornstein, D J Rudolph, B Weiss, Equivalence of measure preserving transformations, 262, Amer. Math. Soc. (1982) MR653094
20	R Skipper, P Wesolek, On the Cantor–Bendixson rank of the Grigorchuk group and the Gupta–Sidki 3 group, J. Algebra 555 (2020) 386 MR4082048
21	G Stuck, R J Zimmer, Stabilizers for ergodic actions of higher rank semisimple groups, Ann. of Math. 139 (1994) 723 MR1283875
22	B Weiss, Minimal models for free actions, from: "Dynamical systems and group actions", Contemp. Math. 567, Amer. Math. Soc. (2012) 249 MR2931921