3 papers
math.GR2026
-boundaries, splittings over finite subgroups, and dense amalgams
Mateusz Kandybo, Jacek ÅwiÄ tkowski
The dense amalgam is an operation (introduced in arXiv:1410.4989) which to any finite collection of metrizable compacta associates canonically some new highly disconnected compact…
math.GT2025
Complete characterizations of hyperbolic Coxeter groups with SierpiÅski curve boundary and with Menger curve boundary
Daniel Danielski, Michael Kapovich, Jacek ÅwiÄ tkowski
We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the SierpiÅski curve and to the Menger cur…
math.GR2025
Trees of Graphs as Boundaries of Hyperbolic Groups
Nima Hoda, Jacek ÅwiÄ tkowski
We characterize those 1-ended word hyperbolic groups whose Gromov boundaries are homeomorphic to trees of graphs (i.e. to inverse limits of graphs that have particularly simple fin…