Action dimensions of some simple complexes of groups
| Autor: | Davis, Michael W., Le, Giang, Schreve, Kevin |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/topo.12115 |
| Popis: | The action dimension of a discrete group $G$ is the minimum dimension of contractible manifold that admits a proper $G$-action. We compute the action dimension of the direct limit of a simple complex of groups for several classes of examples including: 1) Artin groups, 2) graph products of groups, and 3) fundamental groups of aspherical complements of arrangements of affine hyperplanes. Comment: Typos corrected, some minor restructuring of subsections |
| Databáze: | arXiv |
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