Stability and Bounded Balls of Free Products
| dc.creator | Neman, Azadeh | |
| dc.date | 2009-01-21 | |
| dc.date.accessioned | 2026-07-07T12:32:31Z | |
| dc.date.available | 2026-07-07T12:32:31Z | |
| dc.description | In a series of papers starting in [Sel01] and culminating in [Sel07], Z. Sela proved that free groups, and more generally torsion-free hyperbolic groups, have a stable first-order theory. The question of the stability of the free product of two arbitrary stable groups has then been raised by E. Jaligot with, seemingly, the reasonable conjecture of a positive answer [Jal08]. The complete proof however will be a grand project of generalization of above papers of Sela.In the meantime, we provide here a very preliminary -or somehow experi- mental- result in the direction of the stability of free products of stable groups, restricting ourselves to quantifer-free definable sets and to bounded balls of free products. | |
| dc.identifier | https://arxiv.org/abs/0901.3212 | |
| dc.identifier | http://arxiv.org/abs/0901.3212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216806 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.title | Stability and Bounded Balls of Free Products | |
| dc.type | text |