Widths of Subgroups

Gitik, Rita ; Mitra, Mahan ; Rips, Eliyahu ; Sageev, Michah (1998) Widths of Subgroups Transactions of the American Mathematical Society, 350 . pp. 321-329. ISSN 1088-6850

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Official URL: http://www.ams.org/journals/tran/1998-350-01/S0002...


We say that the width of an infinite subgroup H in G is n if there exists a collection of n essentially distinct conjugates of H such that the intersection of any two elements of the collection is infinite and n is maximal possible. We define the width of a finite subgroup to be 0. We prove that a quasiconvex subgroup of a negatively curved group has finite width. It follows that geometrically finite surfaces in closed hyperbolic 3-manifolds satisfy the k-plane property for some k.

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ID Code:92788
Deposited On:07 Jun 2012 10:08
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