On Systems of Equations over Free Products of Groups
| dc.creator | Casals-Ruiz, Montserrat | |
| dc.creator | Kazachkov, Ilya | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:51:50Z | |
| dc.date.available | 2026-07-07T12:51:50Z | |
| dc.description | Using an analogue of Makanin-Razborov diagrams, we give a description of the solution set of systems of equations over an equationally Noetherian free product of groups $G$. Equivalently, we give a parametrisation of the set $Hom(H, G)$ of all homomorphisms from a finitely generated group $H$ to $G$. Furthermore, we show that every algebraic set over $G$ can be decomposed as a union of finitely many images of algebraic sets of NTQ systems. If the universal Horn theory of $G$ (the theory of quasi-identities) is decidable, then our constructions are effective. | |
| dc.description | 71 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/0903.2096 | |
| dc.identifier | http://arxiv.org/abs/0903.2096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223119 | |
| dc.subject | Group Theory | |
| dc.subject | Logic | |
| dc.subject | 20F10 (Primary) 20E06 (Secondary) | |
| dc.title | On Systems of Equations over Free Products of Groups | |
| dc.type | text |