Geodesic
Correction to the article Boundaries and automorphisms of hierarchically hyperbolic spaces
Durham, Matthew1 ; Hagen, Mark2 ; Sisto, Alessandro3
1 Department of Mathematics, University of California, Riverside, Riverside, CA, United States
2 School of Mathematics, University of Bristol, Bristol, United Kingdom
3 Departement Mathematik, ETH Zürich, Zürich, Switzerland
Geometry & topology, Tome 24 (2020) no. 2, pp. 1051-1073.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We correct an error in Lemma 7.5 of our paper (Geom. Topol. 21 (2017) 3659–3758), affecting Theorem 7.1 and Theorem 9.15. Here, we prove Theorems 7.1 and 9.15 without the problematic lemma.

DOI : 10.2140/gt.2020.24.1051
Classification : 20F65, 20F67, 30F60
Keywords: mapping class groups, cubical groups, hierarchically hyperbolic spaces

Durham, Matthew 1 ; Hagen, Mark 2 ; Sisto, Alessandro 3

1 Department of Mathematics, University of California, Riverside, Riverside, CA, United States
2 School of Mathematics, University of Bristol, Bristol, United Kingdom
3 Departement Mathematik, ETH Zürich, Zürich, Switzerland 
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Durham, Matthew; Hagen, Mark; Sisto, Alessandro. Correction to the article Boundaries and automorphisms of hierarchically hyperbolic spaces. Geometry & topology, Tome 24 (2020) no. 2, pp. 1051-1073. doi : 10.2140/gt.2020.24.1051. http://geodesic.mathdoc.fr/articles/10.2140/gt.2020.24.1051/

[1] J Behrstock, M F Hagen, A Sisto, Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups, Proc. Lond. Math. Soc. 114 (2017) 890 | DOI

[2] J Behrstock, M F Hagen, A Sisto, Hierarchically hyperbolic spaces, I : Curve complexes for cubical groups, Geom. Topol. 21 (2017) 1731 | DOI

[3] J Behrstock, M Hagen, A Sisto, Hierarchically hyperbolic spaces, II : Combination theorems and the distance formula, Pacific J. Math. 299 (2019) 257 | DOI

[4] M Burger, S Mozes, Finitely presented simple groups and products of trees, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997) 747 | DOI

[5] C Druţu, M Kapovich, Geometric group theory, 63, Amer. Math. Soc. (2018)

[6] M G Durham, M F Hagen, A Sisto, Boundaries and automorphisms of hierarchically hyperbolic spaces, Geom. Topol. 21 (2017) 3659 | DOI

[7] M Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. 53 (1981) 53 | DOI

[8] M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 | DOI

[9] D Janzen, D T Wise, A smallest irreducible lattice in the product of trees, Algebr. Geom. Topol. 9 (2009) 2191 | DOI

[10] J F Manning, Actions of certain arithmetic groups on Gromov hyperbolic spaces, Algebr. Geom. Topol. 8 (2008) 1371 | DOI

[11] D Rattaggi, A finitely presented torsion-free simple group, J. Group Theory 10 (2007) 363 | DOI

[12] D T Wise, Non-positively curved squared complexes : Aperiodic tilings and non-residually finite groups, PhD thesis, Princeton University (1996)

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