Hyperbolic groups have finite asymptotic dimension
نویسندگان
چکیده
منابع مشابه
Asymptotic Dimension of Relatively Hyperbolic Groups
Suppose that a finitely generated group G is hyperbolic relative to a collection of subgroups {H1, . . . ,Hm}. We prove that if each of the subgroups H1, . . . ,Hm has finite asymptotic dimension, then asymptotic dimension of G is also finite.
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Generally we use definitions and notation as in [D]. In particular, (W,S) is a finitely generated Coxeter system, C is a building with Weyl group W , |C| is the Davis realization of C. We will, however, confuse the Coxeter group and its abstract Coxeter complex, denoting both by W ; in particular, |W | denotes the Davis complex. The W -valued distance in C will be denoted δC , while δ will be t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2005
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-05-08138-4