Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic groups under mild orientability conditions on the JSJ decomposition.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.GR 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.
Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.
citing papers explorer
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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 groups under mild orientability conditions on the JSJ decomposition.
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Outer automorphism groups and the Atiyah Conjecture
Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.
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Virtual inheritance properties of graph products
Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.