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Title:
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Infinite index subgroups and finiteness properties of intersections of geometrically finite groups
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Author:
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Apanasov, Boris N.
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Other authors:
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Centre de Recerca Matemàtica |
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Abstract:
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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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Publication date:
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2005-02 |
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Subject(s):
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Grups finits |
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Rights:
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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/) |
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Document type:
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Preprint |
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