Lim, S. and Thomas, A. (2008) Covering theory for complexes of groups. Journal of Pure and Applied Algebra, 212(7), pp. 1632-1663. (doi: 10.1016/j.jpaa.2007.10.012)
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Abstract
We develop an explicit covering theory for complexes of groups, parallel to that developed for graphs of groups by Bass. Given a covering of developable complexes of groups, we construct the induced monomorphism of fundamental groups and isometry of universal covers. We characterize faithful complexes of groups and prove a conjugacy theorem for groups acting freely on polyhedral complexes. We also define an equivalence relation on coverings of complexes of groups, which allows us to construct a bijection between such equivalence classes, and subgroups or overgroups of a fixed lattice Γ in the automorphism group of a locally finite polyhedral complex X.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Thomas, Dr Anne |
| Authors: | Lim, S., and Thomas, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Pure and Applied Algebra |
| ISSN: | 0022-4049 |
| ISSN (Online): | 1873-1376 |
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