Countable groups are mapping class groups of hyperbolic 3-manifolds

被引：0

作者：

Frigerio, Roberto ^{[1
]}

Martelli, Bruno ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

MATHEMATICAL RESEARCH LETTERS | 2006年 / 13卷 / 5-6期

关键词：

Kleinian groups; hyperbolic; 3-manifolds; special polyhedra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isometry group of M, the mapping class group of M, and the outer automorphism group of pi(1)(M) are isomorphic to G.

引用

页码：897 / 910

页数：14

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