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portada Descargar ficha PDF Título: On Systems Of Equations Over Free Partially Commutative Groups (Vol. 999)
Autor: Casals-Ruiz, Montserrat; Kazachkov, Ilya Precio: $1093.40
Editorial: American Mathematical Society Año: 2011
Tema: Matematicas Edición: 1ª
Sinopsis ISBN: 9780821852583
Using an analogue of Makanin-Razborov diagrams, the authors give an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) $\mathbb{G}$. Equivalently, they give a parametrisation of $\mathrm{Hom}(G, \mathbb{G})$, where $G$ is a finitely generated group.

Table of Contents
Introduction
Preliminaries
Reducing systems of equations over $\mathbb{G}$ to constrained generalised equations over $\mathbb{F}$
The process: Construction of the tree $T$
Minimal solutions
Periodic structures
The finite tree $T_0(\Omega)$ and minimal solutions
From the coordinate group $\mathbb{G}_{R(\Omega^*)}$ to proper quotients: The decomposition tree $T_{\mathrm{dec}}$ and the extension tree $T_{\mathrm{ext}}$
The solution tree $T_{\mathrm{sol}}(\Omega)$ and the main theorem
Bibliography
Index
Glossary of notation
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