Reduces the twist conjecture for Artin groups to graphs without separating vertices via a combination theorem, also proving a ribbon property result.
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Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.
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A combination theorem for the twist conjecture for Artin groups
Reduces the twist conjecture for Artin groups to graphs without separating vertices via a combination theorem, also proving a ribbon property result.
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Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.