| Autor: |
Abbott, Carolyn, Nguyen, Hoang Thanh, Rasmussen, Alexander J. |
| Rok vydání: |
2023 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
The set of equivalence classes of cobounded actions of a group G on different hyperbolic metric spaces carries a natural partial order. Following Abbott--Balasubramanya--Osin, the group G is H--accessible if the resulting poset has a largest element. In this paper, we prove that every non-geometric 3--manifold has a finite cover with H--inaccessible fundamental group and give conditions under which the fundamental group of the original manifold is H--inaccessible. We also prove that every Croke--Kleiner admissible group (a class of graphs of groups that generalizes fundamental groups of 3--dimensional graph manifolds) has a finite index subgroup that is H--inaccessible. |
| Databáze: |
arXiv |
| Externí odkaz: |
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