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Proper 2-equivalences between infinite ended finitely presented groups

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Publication:2699471
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DOI10.2140/agt.2023.23.1OpenAlexW4361272630MaRDI QIDQ2699471

Ranja Roy, Francisco Fernández Lasheras, Antonio Quintero, Manuel Cárdenas

Publication date: 26 April 2023

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2023.23.1


zbMATH Keywords

quasi-isometryfinitely presented groupproper homotopyproper 2-equivalence


Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topological methods in group theory (57M07)





Cites Work

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  • The accessibility of finitely presented groups
  • One relator groups are semistable at infinity
  • Quasi-isometries between groups with infinitely many ends
  • Relating the Freiheitssatz to the asymptotic behavior of a group
  • A topological equivalence relation for finitely presented groups
  • Semistability at ∞, ∞-Ended Groups and Group Cohomology
  • Semistability of amalgamated products and HNN-extensions
  • Ascending HNN-extensions and properly 3-realisable groups
  • Infinite homotopy theory




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