All finitely generated free-by-cyclic groups are conjugacy separable, resolving Question 19.41 of the Kourovka Notebook and implying residual finiteness of their outer automorphism groups.
On the residual finiteness of cert ain mapping class groups
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes a sufficient condition for relatively hierarchically hyperbolic groups to have property (QT) and applies it to residually finite groups in several classes including admissible groups and Artin groups of large type.
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.
citing papers explorer
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Free-by-cyclic groups are conjugacy separable
All finitely generated free-by-cyclic groups are conjugacy separable, resolving Question 19.41 of the Kourovka Notebook and implying residual finiteness of their outer automorphism groups.
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Property (QT) of relatively hierarchically hyperbolic groups
Establishes a sufficient condition for relatively hierarchically hyperbolic groups to have property (QT) and applies it to residually finite groups in several classes including admissible groups and Artin groups of large type.
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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.