REVIEW 1 cited by
Groups acting acylindrically on hyperbolic spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The goal of this article is to survey some recent developments in the study of groups acting on hyperbolic spaces. We focus on the class of acylindrically hyperbolic groups; it is broad enough to include many examples of interest, yet a significant part of the theory of hyperbolic and relatively hyperbolic groups can be generalized in this context. In particular, we discuss group theoretic Dehn filling and small cancellation theory in acylindrically hyperbolic groups. Many results discussed here rely on the new generalization of relative hyperbolicity based on the notion of a hyperbolically embedded subgroup.
Forward citations
Cited by 1 Pith paper
-
Finite extensions of $\mathcal{H}-$ and $\mathcal{AH}-$accessible groups
The paper proves that if a normal finite-index subgroup of G is H-accessible or AH-accessible, then G itself is H-accessible or AH-accessible.
Discussion (0). Continue with ORCID to comment.