On quasi-isometric embeddings of Lamplighter groups

DOI10.1090/S0002-9939-07-08970-8zbMath1190.20032OpenAlexW2035244135MaRDI QIDQ5423932

S. P. Inamdar, Aniruddha C. Naolekar

Publication date: 1 November 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08970-8

zbMATH Keywords

automorphism groupsgeometric group theoryquasi-isometric embeddingslamplighter groupsgroups of quasi-isometries

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28)

Related Items (1)

Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians

Cites Work

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• Random walks on the lamplighter group
• Heat kernel asymptotics on the lamplighter group
• A finitely-presented solvable group with a small quasi-isometry group.
• Bounded automorphisms and quasi-isometries of finitely generated groups
• Dead end words in lamplighter groups and other wreath products
• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

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