Bounding the gap between a free group (outer) automorphism and its inverse

The final publication is available at Springer via http://dx.doi.org/10.1007/s13348-015-0133-3.

Detalles Bibliográficos
Autores: Ladra, Manuel, Silva, Pedro V., Ventura Capell, Enric|||0000-0003-3519-4135
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/98389
Acceso en línea:https://hdl.handle.net/2117/98389
https://dx.doi.org/10.1007/s13348-015-0133-3
Access Level:acceso abierto
Palabra clave:Free groups
Group theory
Automorphisms
Automorphism
Inverse automorphism
Norm of an automorphism
Free group
Grups, Teoria de
Automorfismes
Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
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
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network_name_str España
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spelling Bounding the gap between a free group (outer) automorphism and its inverseLadra, ManuelSilva, Pedro V.Ventura Capell, Enric|||0000-0003-3519-4135Free groupsGroup theoryAutomorphismsAutomorphismInverse automorphismNorm of an automorphismFree groupGrups, Teoria deAutomorfismesClassificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groupsClassificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groupsÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grupsThe final publication is available at Springer via http://dx.doi.org/10.1007/s13348-015-0133-3.For any finitely generated group GG , two complexity functions aGaG and ßGßG are defined to measure the maximal possible gap between the norm of an automorphism (respectively, outer automorphism) of GG and the norm of its inverse. Restricting attention to free groups FrFr , the exact asymptotic behaviour of a2a2 and ß2ß2 is computed. For rank r¿3r¿3 , polynomial lower bounds are provided for arar and ßrßr , and the existence of a polynomial upper bound is proved for ßrßr .Peer Reviewed20162016-09-0120162016-12-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/98389https://dx.doi.org/10.1007/s13348-015-0133-3reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengMinisterio de Ciencia e Innovación http://doi.org/10.13039/501100004837 MTM2008-01550 METODOS GEOMETRICOS EN TEORIA DE GRUPOSMinisterio de Ciencia e Innovación http://doi.org/10.13039/501100004837 MTM2011-25955 METODOS GEOMETRICOS EN TEORIA DE GRUPOSopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/983892026-05-27T15:37:01Z
dc.title.none.fl_str_mv Bounding the gap between a free group (outer) automorphism and its inverse
title Bounding the gap between a free group (outer) automorphism and its inverse
spellingShingle Bounding the gap between a free group (outer) automorphism and its inverse
Ladra, Manuel
Free groups
Group theory
Automorphisms
Automorphism
Inverse automorphism
Norm of an automorphism
Free group
Grups, Teoria de
Automorfismes
Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
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
title_short Bounding the gap between a free group (outer) automorphism and its inverse
title_full Bounding the gap between a free group (outer) automorphism and its inverse
title_fullStr Bounding the gap between a free group (outer) automorphism and its inverse
title_full_unstemmed Bounding the gap between a free group (outer) automorphism and its inverse
title_sort Bounding the gap between a free group (outer) automorphism and its inverse
dc.creator.none.fl_str_mv Ladra, Manuel
Silva, Pedro V.
Ventura Capell, Enric|||0000-0003-3519-4135
author Ladra, Manuel
author_facet Ladra, Manuel
Silva, Pedro V.
Ventura Capell, Enric|||0000-0003-3519-4135
author_role author
author2 Silva, Pedro V.
Ventura Capell, Enric|||0000-0003-3519-4135
author2_role author
author
dc.subject.none.fl_str_mv Free groups
Group theory
Automorphisms
Automorphism
Inverse automorphism
Norm of an automorphism
Free group
Grups, Teoria de
Automorfismes
Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
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
topic Free groups
Group theory
Automorphisms
Automorphism
Inverse automorphism
Norm of an automorphism
Free group
Grups, Teoria de
Automorfismes
Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
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
description The final publication is available at Springer via http://dx.doi.org/10.1007/s13348-015-0133-3.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-09-01
2016
2016-12-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/98389
https://dx.doi.org/10.1007/s13348-015-0133-3
url https://hdl.handle.net/2117/98389
https://dx.doi.org/10.1007/s13348-015-0133-3
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://doi.org/10.13039/501100004837 MTM2008-01550 METODOS GEOMETRICOS EN TEORIA DE GRUPOS
Ministerio de Ciencia e Innovación http://doi.org/10.13039/501100004837 MTM2011-25955 METODOS GEOMETRICOS EN TEORIA DE GRUPOS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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