Covering theory for complexes of groups
| dc.creator | Lim, Seonhee | |
| dc.creator | Thomas, Anne | |
| dc.date | 2006-05-11 | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:34:01Z | |
| dc.date.available | 2026-07-07T08:34:01Z | |
| dc.description | 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 $X$. | |
| dc.description | 47 pages, 1 figure. Comprises Sections 1-4 of previous submission. New introduction. To appear in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0605303 | |
| dc.identifier | http://arxiv.org/abs/math/0605303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139290 | |
| dc.subject | Group Theory | |
| dc.subject | 22D05; 20E99 | |
| dc.title | Covering theory for complexes of groups | |
| dc.type | text |