8 citations · 31 across the 23 of their papers we have counts for
23 papers · 1 filter
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…
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…
Near Ascending HNN-Extensions and a Combination Result for Semistability at Infinity
Michael Mihalik
Semistability at infinity is an asymptotic property of finitely presented groups that is needed in order to effectively define the fundamental group at infinity for a 1-ended group…
Relatively Hyperbolic Groups with Semistable Peripheral Subgroups
Matthew Haulmark, Michael Mihalik
Suppose is a finitely presented group that is hyperbolic relative to a finite collection of 1-ended finitely generated proper subgroups of . If and the ${\bf P…
Semistability of Graph Products
Michael Mihalik
A {\it graph product} on a graph is a group defined as follows: For each vertex of there is a corresponding non-trivial group . The group is the quotient o…
Piecewise Visual, Linearly Connected Metrics on Boundaries of Relatively Hyperbolic Groups
Matthew Haulmark, Michael L. Mihalik
Suppose a finitely generated group is hyperbolic relative to a set of proper finitely generated subgroups of . Established results in the literature imply that…