Uniform embeddability of relatively hyperbolic groups

Uniform embeddability of relatively hyperbolic groups
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DOI:
10.1515/crelle.2007.081
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发表时间:
2005-01
期刊:
--
影响因子:
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通讯作者:
M. Dadarlat;E. Guentner
M. Dadarlat;E. Guentner
中科院分区:
其他
文献类型:
--
作者:
M. Dadarlat;E. Guentner

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Abstract Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H1, …,Hn } of subgroups. We prove that Γ is uniformly embeddable in a Hilbert space if and only if each subgroup Hi is uniformly embeddable in a Hilbert space.