A Higman embedding preserving asphericity

DOI10.1090/S0894-0347-2013-00776-6zbMath1337.20045OpenAlexW2092559688MaRDI QIDQ2862633

Mark V. Sapir

Publication date: 18 November 2013

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

Full work available at URL: https://doi.org/10.1090/s0894-0347-2013-00776-6

zbMATH Keywords

finitely generated groupsaspherical groupsaspherical presentations\(S\)-machines4-dimensional closed aspherical manifoldsHigman embeddings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) Asymptotic properties of groups (20F69) Cancellation theory of groups; application of van Kampen diagrams (20F06) Groups as automorphisms of other structures (22F50)

Related Items (6)

Subgroups of almost finitely presented groups ⋮ The geometry of purely loxodromic subgroups of right-angled Artin groups ⋮ On the outer automorphism groups of finitely generated, residually finite groups. ⋮ Enlargeable length-structure and scalar curvatures ⋮ On the asymptotic dimension of the curve complex ⋮ The rapid decay property and centroids in groups

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