- Abstract:
- Version 2: Corrected Section 3.3: instead of lexicographical normal forms we now use a normal form due to V. Diekert and A. Muscholl. Consequent changes made and some misprints corrected. Using an analogue of Makanin-Razborov diagrams, we give an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) $G$. Equivalently, we give a parametrisation of $Hom(H, G)$, where $H$ is a finitely generated group.
- Publisher copy:
- 10.1090/S0065-9266-2010-00628-8
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- Journal:
- Memoirs of the American Mathematical Society
- Volume:
- 212
- Issue:
- 999
- Pages:
- 1-161
- Publication date:
- 2008-10-27
- DOI:
- EISSN:
-
1947-6221
- ISSN:
-
0065-9266
- URN:
-
uuid:c6a37ac0-44d2-47cc-a032-ce2ada6b5d1a
- Source identifiers:
-
313202
- Local pid:
- pubs:313202
- Language:
- English
- Keywords:
- Copyright date:
- 2008
- Notes:
- 117 pages, 22 figures
Journal article
On Systems of Equations over Free Partially Commutative Groups
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