Preservation and distortion of area in finitely presented groups

DOI10.1007/BF02247889zbMath0868.20033MaRDI QIDQ1919138

Steve M. Gersten

Publication date: 18 June 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58228

zbMATH Keywords

fundamental groupsautomatic groupsisoperimetric functionssemi-direct productsfinite presentationsvan Kampen diagramstame automorphismsCayley graphs of finitely presented groupsdistortion of combinatorial areaexponent of area distortionnumbers of \(2\)-cells

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) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

LENGTH AND AREA FUNCTIONS ON GROUPS AND QUASI-ISOMETRIC HIGMAN EMBEDDINGS ⋮ The rate of escape for random walks on polycyclic and metabelian groups ⋮ Volume distortion in groups. ⋮ Quasi-isometries of pairs: Surfaces in graph manifolds

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