Measuring the tameness of almost convex groups

DOI10.1090/S0002-9947-00-02717-3zbMath0988.20026OpenAlexW1495432684MaRDI QIDQ4523173

John Meier, Susan M. Hermiller

Publication date: 8 January 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02717-3

zbMATH Keywords

presentationsquasi-isometry invariantsCayley graphsfinitely presented groupscombings of groupsalmost convex groupsradial tameness functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69)

Related Items

Tame filling invariants for groups ⋮ Algorithms and topology of Cayley graphs for groups. ⋮ Statistical hyperbolicity in groups. ⋮ Tame combing and almost convexity conditions. ⋮ On the wgsc and qsf tameness conditions for finitely presented groups

Cites Work

• Almost convex groups
• Almost convex groups, Lipschitz combing, and \(\pi^ \infty _ 1\) for universal covering spaces of closed 3-manifolds
• \(k\)-weakly almost convex groups and \(\pi_ 1^ \infty \widetilde M^ 3\)
• Geometry ``à la Gromov for the fundamental group of a closed 3- manifold \(M^ 3\) and the simple connectivity at infinity of \(\widetilde{M}^ 3\)
• Tame combings, almost convexity and rewriting systems for groups
• Compactifying coverings of 3-manifolds
• Non-compact 3-manifolds and the missing-boundary problem
• Group extensions and tame pairs
• Tame Combings of Groups
• QUASI-ISOMETRIES AND AMALGAMATIONS OF TAME COMBABLE GROUPS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item