Distortion of surface groups in Cat (0) free-by-cyclic groups

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RECERCAT Home > Universitat Autònoma de Barcelona > Prepublicacions i preprints > View document

dc.contributor.author	Barnard, Josh
dc.contributor.author	Brady, Noel
dc.contributor.author	Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
dc.date	2005
dc.identifier	https://ddd.uab.cat/record/44146
dc.identifier	urn:oai:ddd.uab.cat:44146
dc.format	application/pdf
dc.language	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation	Centre de Recerca Matemàtica. Prepublicacions ;
dc.rights	open access
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
dc.rights	https://creativecommons.org/licenses/by-nc-nd/2.5/
dc.subject	Grups, Teoria dels
dc.title	Distortion of surface groups in Cat (0) free-by-cyclic groups
dc.type	Article
dc.type	Prepublicació
dc.description.abstract	Given a non-positively curved 2-complex with a circle-valued Morse function satisfying some extra combinatorial conditions, we describe how to locally isometrically embed this in a larger non- positively curved 2-complex with free-by-cyclic fundamental group. This embedding procedure is used to produce examples of CAT(0) free-by-cyclic groups that contain closed hyperbolic surface subgroups with polynomial distortion of arbitrary degree. We also produce examples of CAT(0) hyperbolic free-by-cyclic groups that contain closed hyperbolic surface subgroups that are exponentially distorted.

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