Trees of Graphs as Boundaries of Hyperbolic Groups

Autor: Hoda, Nima, Świątkowski, Jacek
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We characterize those 1-ended word hyperbolic groups whose Gromov boundaries are homeomorphic to trees of graphs, the family of simplest connected 1-dimensional spaces appearing among Gromov boundaries. The characterization refers to the features of the Bowditch JSJ splitting of the corresponding groups (i.e their canonical JSJ splitting over 2-ended subgroups).
Comment: 84 pages, 7 figures
Databáze: arXiv