Splittings and the asymptotic topology of the lamplighter group

DOI10.1090/S0002-9947-2012-05578-4zbMath1285.20040arXiv0911.0186OpenAlexW2963670976MaRDI QIDQ2839958

Panos Papasoglu

Publication date: 17 July 2013

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

Full work available at URL: https://arxiv.org/abs/0911.0186

zbMATH Keywords

finitely generated groupsCayley graphsfinitely presented groupslamplighter groupsurface groups2-ended groupssplittings over finite groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items (2)

Coarse geometry of the fire retaining property and group splittings ⋮ Immersed cycles and the JSJ decomposition

Cites Work

• Unnamed Item
• The large-scale geometry of Hilbert modular groups
• Coarse Alexander duality and duality groups
• Cut points and canonical splittings of hyperbolic groups
• Quasi-isometry invariance of group splittings.
• Filling invariants of systolic complexes and groups.
• JSJ-decompositions of finitely presented groups and complexes of groups.
• On torsion-free groups with infinitely many ends
• Asymptotic topology
• Asymptotic dimension of finitely presented groups
• Planar groups and the Seifert conjecture
• Dead end words in lamplighter groups and other wreath products

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