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Retraction: Hierarchical hyperbolicity of all cubical groups
Author(s) -
Hagen, Mark F,
Susse, Tim
Publication year - 2018
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12123
Subject(s) - citation , white (mutation) , mathematics , computer science , library science , combinatorics , biology , biochemistry , gene
Let X be a proper CAT(0) cube complex admitting a proper cocompact action bya group G, then X has a factor system in the sense of [BHS14]. By results ofBehrstock--Hagen--Sisto it follows that G is a hierarchically hyperbolic group;this answers questions raised by those authors. Our results also resolve aconjecture of Behrstock--Hagen on boundaries of cube complexes.Comment: 15 pages, 5 figure