Fixed subgroups in free groups: a survey

This note is a survey of the main results known about fixed subgroups of endomorphisms of finitely generated free groups. A historic point of view is taken, emphasizing the evolution of this line of research, from its beginning to the present time. The article concludes with a section containing the...

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Detalhes bibliográficos
Autor: Ventura Capell, Enric|||0000-0003-3519-4135
Formato: artículo
Fecha de publicación:2002
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/24787
Acesso em linha:https://hdl.handle.net/2117/24787
Access Level:acceso abierto
Palavra-chave:Free groups
Endomorphisms (Group theory)
Endomorfismes (Teoria dels grups)
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
Descrição
Resumo:This note is a survey of the main results known about fixed subgroups of endomorphisms of finitely generated free groups. A historic point of view is taken, emphasizing the evolution of this line of research, from its beginning to the present time. The article concludes with a section containing the main open problems and conjectures, with some comments and discussions on them.