THE MAGNUS EMBEDDING IS A QUASI-ISOMETRY

DOI10.1142/S021819671240005XzbMath1260.20054arXiv1207.1830OpenAlexW1964349168MaRDI QIDQ4904511

Svetla Vassileva

Publication date: 30 January 2013

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

Full work available at URL: https://arxiv.org/abs/1207.1830

zbMATH Keywords

quasi-isometriesfree solvable groupsMagnus embedding

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Solvable groups, supersolvable groups (20F16) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (1)

Magnus embedding and algorithmic properties of groups 𝐹/𝑁^{(𝑑)}

Cites Work

• Unnamed Item
• Subgroup distortion in wreath products of cyclic groups.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• On a theorem of Marshall Hall
• Polynomial time conjugacy in wreath products and free solvable groups
• Growth Series of Some Wreath Products
• The word and geodesic problems in free solvable groups

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