Quasi‐isometric rigidity of extended admissible groups

Abstract We introduce the class of extended admissible groups, which include both fundamental groups of nongeometric 3‐manifolds and Croke–Kleiner admissible groups. We show that the class of extended admissible groups is quasi‐isometrically rigid.

Authors

Institutions

Publication Details

Journal
Journal of the London Mathematical Society
Published
2026-07-28
DOI
https://doi.org/10.1112/jlms.70657
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Quasi‐isometric rigidity of extended admissible groups

Alexander Margolis, Hoang Thanh Nguyen
Journal of the London Mathematical Society
Geometric and Algebraic Topology
article

Quasi‐isometric rigidity of extended admissible groups

Alexander Margolis, Hoang Thanh Nguyen
article en

Abstract

Abstract We introduce the class of extended admissible groups, which include both fundamental groups of nongeometric 3‐manifolds and Croke–Kleiner admissible groups. We show that the class of extended admissible groups is quasi‐isometrically rigid.

Journal of the London Mathematical SocietyVol. 114(2)
Wesleyan University (US), FPT University (VN)
Reduced inequalities
Openalex Percentile: Top 96%
Geometric and Algebraic Topology
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Quasi‐isometric rigidity of extended admissible groups — Alexander Margolis, Hoang Thanh Nguyen · Journal of the London Mathematical Society (2026) | TGRS Research Map | TGRS