Subgroups of small index in Aut(Fn) and Kazhdan's property (T)

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dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Bogopolski, O.
dc.contributor.author	Vikentiev, Ruslan
dc.date.accessioned	2008-09-04T12:55:29Z
dc.date.available	2008-09-04T12:55:29Z
dc.date.created	2007-09
dc.date.issued	2007-09
dc.identifier.uri	http://hdl.handle.net/2072/9159
dc.format.extent	11
dc.format.extent	196172 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;765
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/)
dc.subject.other	Grups, Teoria dels
dc.title	Subgroups of small index in Aut(Fn) and Kazhdan's property (T)
dc.type	info:eu-repo/semantics/preprint
dc.subject.udc	512 - Àlgebra
dc.description.abstract	We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Aut(F3) and infinite abelianization. This implies that Aut(F3) does not have Kazhdan’s property (T) (see [3] and [6] for another proofs). We proved also that every subgroup of finite index in Aut(Fn), n &= 3, which contains the subgroup of IA-automorphisms, has a finite abelianization.

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