3 papers
math.GR2026
-boundaries, splittings over finite subgroups, and dense amalgams
Mateusz Kandybo, Jacek Świątkowski
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.GR2023
Trees of Graphs as Boundaries of Hyperbolic Groups
Nima Hoda, Jacek Świątkowski
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…
math.GR2019
Reflection trees of graphs as boundaries of Coxeter groups
Jacek Świątkowski
To any finite graph (viewed as a topological space) we assosiate some explicit compact metric space which we call {\it the reflection tree of graphs }. This…