Degree of commutativity of infinite groups

Home | About RECERCAT | Contact

Català | Castellano

All of RECERCAT

By Communities &
Collections By Defense Date By Authors By Titles By Subject

This Collection

By Defense Date By Authors By Titles By Subject

Statistics

View Statistics All RECERCAT

My RECERCAT

Other repositories directory

RECERCAT Home > Universitat Politècnica de Catalunya > Documents de recerca > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2117/101873

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Antolin, Yago
dc.contributor.author	Martino, Armando
dc.contributor.author	Ventura Capell, Enric
dc.date	2016-11-16
dc.identifier.citation	Antolin, Y., Martino, A., Ventura, E. Degree of commutativity of infinite groups. "Proceedings of the American Mathematical Society", 16 Novembre 2016, vol. 145, núm. 2, p. 479-485.
dc.identifier.citation	0002-9939
dc.identifier.citation	10.1090/proc/13231
dc.identifier.uri	http://hdl.handle.net/2117/101873
dc.language.iso	eng
dc.relation	info:eu-repo/grantAgreement/ES/1PE/MTM2014-54896-P
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject	Group theory
dc.subject	Abelian groups
dc.subject	Infinite groups
dc.subject	Abelian groups
dc.subject	Degree of commutativity
dc.subject	Polynomial growth
dc.subject	Grups, Teoria de
dc.subject	Grups abelians
dc.subject	Grups infinits
dc.subject	Classificació AMS::20 Group theory and generalizations::20P05 Probabilistic methods in group theory
dc.title	Degree of commutativity of infinite groups
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	First published in Proceedings of the American Mathematical Society in volum 145, number 2, 2016, published by the American Mathematical Society
dc.description.abstract	We prove that, in a finitely generated residually finite group of subexponential growth, the proportion of commuting pairs is positive if and only if the group is virtually abelian. In particular, this covers the case where the group has polynomial growth (i.e., virtually nilpotent groups, where the hypothesis of residual finiteness is always satisfied). We also show that, for non-elementary hyperbolic groups, the proportion of commuting pairs is always zero.
dc.description.abstract	Peer Reviewed

Show simple item record

All of RECERCAT

This Collection

Statistics

My RECERCAT

Related documents

Other documents of the same author