On systems of equations over free partially commutative groups / Montserrat Casals-Ruiz, Ilya Kazachkov

Auteur principal : Casals-Ruiz, Montserrat, AuteurCo-auteur : Kazachkov, Ilya, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 999Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2011Description : 1 vol. (VII-153 p.) : fig. ; 26 cmISBN: 9780821852583.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 139-143. Index.Sujet MSC : 20-02, Research exposition (monographs, survey articles) pertaining to group theory
20F70, Special aspects of infinite or finite groups, Algebraic geometry over groups; equations over groups
20F10, Special aspects of infinite or finite groups, Word problems, other decision problems, connections with logic and automata
20F36, Special aspects of infinite or finite groups, Braid groups; Artin groupsEn-ligne : ArXiv
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Bibliogr. p. 139-143. Index

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) [the set of] G. Equivalently, they give a parametrisation of Hom (G, [the set of] G), where G is a finitely generated group. (Source : AMS)

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