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math.GR2026
Ends of Uncountable Locally Finite Groups: An Analytic and Coarse Geometric Approach
Hussain AL-Rasheed
It is a classical result of D. F. Holt that an uncountable, locally finite discrete group possesses exactly one end. While traditional approaches rely on cohomological methods and…
math.GR2026
Coarsely Proper Actions of Topological Groups
Hussain AL-Rasheed
We adapt the classical topological notions of properly discontinuous group actions to the framework of coarse geometry. By substituting the rigid constraints of local compactness a…