Group-theoretic orbit decidability

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/27428

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Ventura Capell, Enric
dc.date	2014-12-01
dc.identifier.citation	Ventura, E. Group-theoretic orbit decidability. "Groups Complexity Cryptology", 01 Desembre 2014, vol. 6, núm. 2, p. 133-148.
dc.identifier.citation	1869-6104
dc.identifier.citation	10.1515/gcc-2014-0012
dc.identifier.uri	http://hdl.handle.net/2117/27428
dc.language.iso	eng
dc.publisher	De Gruytr
dc.relation	The final publication is available at www.degruyter.com
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject	Associative algebras
dc.subject	Group theory
dc.subject	Orbit decidability
dc.subject	Conjugacy problem
dc.subject	Àlgebres associatives
dc.subject	Grups, Teoria de
dc.subject	Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
dc.title	Group-theoretic orbit decidability
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	A recent collection of papers in the last years have given a renovated interest to the notion of orbit decidability. This is a new quite general algorithmic notion, connecting with several classical results, and closely related to the study of the conjugacy problem for extensions of groups. In the present survey we explain several of the classical results closely related to this concept, and we explain the main ideas behind the recent connection with the conjugacy problem made by Bogopolski–Martino–Ventura in [2]. All the consequences up to date, published in several other papers by other authors, are also commented and reviewed.
dc.description.abstract	Peer Reviewed

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