Coarse Geometry of Extended Admissible Groups Explored
Analysis
Key Takeaways
- •Extended admissible groups are studied from a coarse geometric perspective.
- •Quasi-isometry type is invariant under changes in gluing edge isomorphisms.
- •Large-scale nonpositive curvature is demonstrated under mild conditions.
- •The class of groups with well-defined quasi-redirecting boundaries is enlarged.
- •Divergence is computed, generalizing a result from 3-manifold groups.
- •Subgroup structure is investigated.
“The paper shows that changing the gluing edge isomorphisms does not affect the quasi-isometry type of these groups.”