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• W3013095207 abstract "We show that properly and cocompactly cubulated relatively hyperbolic groups are virtually special, provided the peripheral subgroups are virtually special in a way that is compatible with the cubulation. This extends Agol's result for cubulated hyperbolic groups, and applies to a wide range of peripheral subgroups. In particular, we deduce virtual specialness for properly and cocompactly cubulated groups that are hyperbolic relative to virtually abelian groups. As another consequence, by using a theorem of Martin and Steenbock we obtain virtual specialness for groups obtained as a quotient of a free product of finitely many virtually compact special groups by a finite set of relators satisfying the classical $C'(1/6)$-small cancellation condition." @default.
• W3013095207 created "2020-04-03" @default.
• W3013095207 creator A5032891457 @default.
• W3013095207 date "2020-03-28" @default.
• W3013095207 modified "2023-09-27" @default.
• W3013095207 title "On cubulated relatively hyperbolic groups" @default.
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