ON DEHN FUNCTIONS OF AMALGAMATIONS AND STRONGLY UNDISTORTED SUBGROUPS

DOI10.1142/S0218196700000303zbMath1010.20027OpenAlexW2010771353MaRDI QIDQ4786267

Stephen G. Brick, Jon Michael Corson

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196700000303

zbMATH Keywords

quasiconvex subgroupsword problemfinitely presented groupsDehn functionsamalgamationssubgroup distortionpairs of groupsstrongly undistorted subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Algorithmic problems in groups with quadratic Dehn function

Cites Work

• Conformally non-spherical 2-complexes
• Projections in free product \(C^*\)-algebras
• On Dehn Functions and Products of Groups
• Dehn functions and complexes of groups
• The Extrinsic Geometry of Subgroups and the Generalized Word Problem
• Hyperbolic groups and free constructions
• Howie diagrams and complexes of groups

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