TY - BOOK AU - Casals-Ruiz,Montserrat AU - Kazachkov,Ilya TI - On systems of equations over free partially commutative groups T2 - Memoirs of the American Mathematical Society, SN - 9781470406165 (online) AV - QA215 .C37 2010 U1 - 512/.25 22 PY - 2010/// CY - Providence, R.I. PB - American Mathematical Society KW - Equations, Abelian KW - Abelian groups N1 - "July 2011, volume 212, number 999 (end of volume)."; Includes bibliographical references and index; Chapter 1. Introduction; Chapter 2. Preliminaries; Chapter 3. Reducing systems of equations over $\mathbb {G}$ to constrained generalised equations over $\mathbb {F}$; Chapter 4. The process: Construction of the tree T; Chapter 5. Minimal solutions; Chapter 6. Periodic structures; Chapter 7. The finite tree $T_0(\Omega )$ and minimal solutions; Chapter 8. From the coordinate group $\mathbb {G}_{R(\Omega ^*)}$ to proper quotients: The decomposition tree $T_{\mathrm {dec}}$ and the extension tree $T_{\mathrm {ext}}$; Chapter 9. The solution tree $T_{\mathrm {sol}}(\Omega )$ and the main theorem; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0999 UR - http://dx.doi.org/10.1090/S0065-9266-2010-00628-8 ER -