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math.GR2026
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.GR2025
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…