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

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/98389

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Ladra, Manuel
dc.contributor.author	Silva, Pedro V.
dc.contributor.author	Ventura Capell, Enric
dc.date	2016-09-01
dc.identifier.citation	Ladra, M., Silva, P.V., Ventura, E. Bounding the gap between a free group (outer) automorphism and its inverse. "Collectanea mathematica", 1 Setembre 2016, vol. 67, núm. 3, p. 329-346.
dc.identifier.citation	0010-0757
dc.identifier.citation	10.1007/s13348-015-0133-3
dc.identifier.uri	http://hdl.handle.net/2117/98389
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007%2Fs13348-015-0133-3
dc.relation	info:eu-repo/grantAgreement/ES/6PN/MTM2008-01550
dc.relation	info:eu-repo/grantAgreement/ES/6PN/MTM2011-25955
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Free groups
dc.subject	Group theory
dc.subject	Automorphisms
dc.subject	Automorphism
dc.subject	Inverse automorphism
dc.subject	Norm of an automorphism
dc.subject	Free group
dc.subject	Grups, Teoria de
dc.subject	Automorfismes
dc.subject	Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
dc.subject	Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
dc.title	Bounding the gap between a free group (outer) automorphism and its inverse
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	The final publication is available at Springer via http://dx.doi.org/10.1007/s13348-015-0133-3.
dc.description.abstract	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 .
dc.description.abstract	Peer Reviewed

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