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- W4366341702 abstract "We show that every finite group realizes as the outer automorphism group of an ICC hyperbolic group with Kazhdan property (T). This result complements the well-known theorem of Paulin stating that the outer automorphism group of every hyperbolic group with property (T) is finite. We also show that, for every countable group $Q$, there exists an acylindrically hyperbolic group $G$ with property (T) such that $Out(G)cong Q$. The proofs employ strengthened versions of some previously known results in small cancellation theory." @default.
- W4366341702 created "2023-04-20" @default.
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- W4366341702 date "2023-04-14" @default.
- W4366341702 modified "2023-09-27" @default.
- W4366341702 title "Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces" @default.
- W4366341702 doi "https://doi.org/10.48550/arxiv.2304.07455" @default.
- W4366341702 hasPublicationYear "2023" @default.
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