Widths of Subgroups

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Widths of Subgroups

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 ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1998

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-98-01792-9