Makanin-Razborov Diagrams over Free Products
| dc.creator | Jaligot, E. | |
| dc.creator | Sela, Z. | |
| dc.date | 2009-02-14 | |
| dc.date | 2009-02-23 | |
| dc.date.accessioned | 2026-07-07T12:44:54Z | |
| dc.date.available | 2026-07-07T12:44:54Z | |
| dc.description | This paper is the first in a sequence on the first order theory of free products. In the first paper we generalize the analysis of systems of equations over free and (torsion-free) hyperbolic groups, and analyze system of equations over free products. To do that we introduce limit groups over the class of free products, and show that a finitely presented group has a canonical (finite) collection of maximal limit quotients. We further extend this finite collection and associate a Makanin-Razborov diagram over free products with a finitely presented group. This MR diagram encodes all the quotients of a given finitely presented group that are free products, all its homomorphisms into free products, and equivalently all the solutions to a given system of equations over a free product. | |
| dc.identifier | https://arxiv.org/abs/0902.2493 | |
| dc.identifier | http://arxiv.org/abs/0902.2493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220931 | |
| dc.subject | Group Theory | |
| dc.subject | Logic | |
| dc.title | Makanin-Razborov Diagrams over Free Products | |
| dc.type | text |