2 papers
math.GR2025
Splittings of One-Ended Groups with One-Ended Halfspaces
Michael Mihalik, Sam Shepherd
We introduce the notion of halfspaces associated to a group splitting, and investigate the relationship between the coarse geometry of the halfspaces and the coarse geometry of the…
math.GR2025
Local Connectivity of Right-angled Coxeter group boundaries
Michael Mihalik, Kim Ruane, Steve Tschantz
We provide conditions on the defining graph of a right-angled Coxeter group presentation that guarantees the boundary of any CAT(0) space on which the group acts geometrically will…