Isomorphisms and commensurability of surface Houghton groups

DOI10.1515/jgth-2023-0297zbMATH Open1548.2007MaRDI QIDQ6611936

George Domat, Christopher J. Leininger, Javier Aramayona

Publication date: 27 September 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

isomorphismpure subgroupsurface Houghton group

Mathematics Subject Classification ID

Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Group actions on manifolds and cell complexes in low dimensions (57M60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• The isomorphism problem for Higman-Thompson groups.
• Asymptotic properties of depth one foliations in hyperbolic 3-manifolds
• The first cohomology of a group with permutation module coefficients
• Finiteness conditions on groups and quasi-isometries
• Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups
• Asymptotically rigid mapping class groups and Thompson's groups
• Isomorphisms Between Big Mapping Class Groups
• Endperiodic automorphisms of surfaces and foliations
• The First Integral Cohomology of Pure Mapping Class Groups
• Finiteness properties of groups
• End‐periodic homeomorphisms and volumes of mapping tori
• Surface Houghton groups

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