3 papers
math.GR2025
Strongly bounded generation in transformation groups
Nicholas G. Vlamis
Word metrics on finitely generated groups have canonical quasi-isometry classes, making quasi-isometry invariants genuine group invariants. Rosendal generalized this phenomenon to…
math.GR2024
Algebraic and geometric properties of homeomorphism groups of ordinals
Megha Bhat, Rongdao Chen, Adityo Mamun +3
We study the homeomorphism groups of ordinals equipped with their order topology, focusing on successor ordinals whose limit capacity is also a successor. This is a rich family of…
math.GT2021
Bounded geometry with no bounded pants decomposition
Ara Basmajian, Hugo Parlier, Nicholas G. Vlamis
We construct a quasiconformally homogeneous hyperbolic Riemann surface-other than the hyperbolic plane-that does not admit a bounded pants decomposition. Also, given a connected or…