Property (FA) and lattices in SU(2,1)
| dc.creator | Stover, Matthew | |
| dc.date | 2005-12-08 | |
| dc.date | 2007-10-18 | |
| dc.date.accessioned | 2026-07-07T08:36:56Z | |
| dc.date.available | 2026-07-07T08:36:56Z | |
| dc.description | In this paper we consider Property (FA) for lattices in SU(2,1). First, we prove that SU(2,1;O_3) has Property (FA). We then prove that the arithmetic lattices in SU(2,1) of second type arising from congruence subgroups studied by Rapoport--Zink and Rogawski cannot split as a nontrivial free product with amalgamation; one such example is Mumford's fake projective plane. In fact, we prove that the fundamental group of any fake projective plane has Property (FA). | |
| dc.description | To appear in IJAC | |
| dc.identifier | https://arxiv.org/abs/math/0512180 | |
| dc.identifier | http://arxiv.org/abs/math/0512180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140237 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.title | Property (FA) and lattices in SU(2,1) | |
| dc.type | text |