dc.contributor
Centre de Recerca Matemàtica
cat
dc.contributor.author
Ciobanu, Laura
dc.contributor.author
Dicks, Warren
dc.date.accessioned
2005-11-25T11:34:50Z
dc.date.accessioned
2024-09-19T13:16:29Z
dc.date.available
2005-11-25T11:34:50Z
dc.date.available
2024-09-19T13:16:29Z
dc.identifier.uri
http://hdl.handle.net/2072/1190
dc.description.abstract
Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F.
This shows that, in F, there exist subgroups that are equal to the fixed subgroup of some set of endomorphisms but are not equal to the fixed subgroup of any set of automorphisms. Moreover, we determine the Galois monoids of these retracts, where, by the Galois monoid of a subgroup H of F, we mean the monoid consisting of all endomorphisms of F that fix H.
eng
dc.format.extent
104138 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
en
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;645
dc.rights
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject
Automorfismes
en
dc.subject
Grups lliures
en
dc.title
Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms
en
dc.type
info:eu-repo/semantics/preprint
en
