Infinite index subgroups and finiteness properties of intersections of geometrically finite groups

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Use this identifier to quote or link this document: http://hdl.handle.net/2072/2149

dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Apanasov, Boris N.
dc.date.accessioned	2006-06-22T10:05:58Z
dc.date.available	2006-06-22T10:05:58Z
dc.date.issued	2005-02
dc.identifier.uri	http://hdl.handle.net/2072/2149
dc.format.extent	200275 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;613
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	Grups finits
dc.title	Infinite index subgroups and finiteness properties of intersections of geometrically finite groups
dc.type	info:eu-repo/semantics/preprint
dc.description.abstract	We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.

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