Virtually Cocompactly Cubulated Artin–Tits Groups
Copyright policy )Virtually Cocompactly Cubulated Artin–Tits Groups
Abstract We give a conjectural classification of virtually cocompactly cubulated Artin–Tits groups (i.e., having a finite index subgroup acting geometrically on a CAT(0) cube complex), which we prove for all Artin–Tits groups of spherical type, FC type, or two-dimensional type. A particular case is that for $n \geqslant 4$, the $n$-strand braid group is not virtually cocompactly cubulated.
Mathematics - Geometric Topology, 20F36, 20F65, 20F67, Mathematics - Metric Geometry, FOS: Mathematics, Geometric Topology (math.GT), Metric Geometry (math.MG), Group Theory (math.GR), Mathematics - Group Theory
Mathematics - Geometric Topology, 20F36, 20F65, 20F67, Mathematics - Metric Geometry, FOS: Mathematics, Geometric Topology (math.GT), Metric Geometry (math.MG), Group Theory (math.GR), Mathematics - Group Theory
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