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math.GT2025
Some arithmetic aspects of ortho-integral surfaces
Nhat Minh Doan, Khanh Le
We investigate ortho-integral (OI) hyperbolic surfaces with totally geodesic boundaries, defined by the property that every orthogeodesic (i.e. a geodesic arc meeting the boundary…
math.GR2025
Order-Preserving outer automorphisms of free and surface groups
Jonathan Johnson, Khanh Le
We give a complete classification to when a finite group of outer automorphisms preserves a bi-order on a non-abelian free group and bi-orderable surface groups. We also give anoth…