Isomorphisms and commensurability of surface Houghton groups

2023/12/23 by Javier Aramayona, Aramayona, Javier, George Domat +3
Chemistry · Engineering · Mathematics · #57K20 #Advanced Numerical Analysis Techniques #Chemistry #Commensurability (mathematics) #Crystal structure #Crystallography #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Group Theory (math.GR) #Isomorphism (crystallography) #Mathematics #Pure mathematics #Surface (topology)

paper · pdf · doi:10.48550/arxiv.2312.15330

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2023/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry.

Related

• Surface Houghton groups
• BNSR-Invariants of Surface Houghton Groups
• The geometry of surface-by-free groups
• The automorphism group of a rational projective k*-surface
• Abstract commensurability and quasi-isometry classification of hyperbolic surface group amalgams