Kazhdan groups with infinite outer automorphism group

DOI10.1090/S0002-9947-06-03941-9zbMath1176.20031arXivmath/0409203MaRDI QIDQ3420387

Daniel T. Wise, Yann Ollivier

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409203

zbMATH Keywords

finitely generated groupsouter automorphism groupsshort exact sequencesfinitely presented groupscountable groupsproperty Trandom groupssmall cancellation conditionsnon-Hopfian Kazhdan groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28) Cancellation theory of groups; application of van Kampen diagrams (20F06) Probabilistic methods in group theory (20P05)

Related Items (11)

The bi-embeddability relation for finitely generated groups. II ⋮ Property FW and 1-dimensional piecewise groups ⋮ Rips construction without unique product ⋮ Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras ⋮ Poincaré inequalities, embeddings, and wild groups ⋮ Negative curvature in graphical small cancellation groups ⋮ Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations ⋮ Finitely presentable, non-Hopfian groups with Kazhdan's Property~(T) and infinite outer automorphism group ⋮ Acylindrical hyperbolicity of cubical small cancellation groups ⋮ Infinitely presented small cancellation groups have the Haagerup property ⋮ Rips-Segev torsion-free groups without the unique product property

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