An obstruction to the strong relative hyperbolicity of a group
An obstruction to the strong relative hyperbolicity of a group
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DOI：
10.1515/jgt.2007.054
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发表时间：
2007-01
期刊：
影响因子：
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通讯作者：
James W. Anderson;J. Aramayona;K. Shackleton
中科院分区：
文献类型：
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作者：
James W. Anderson;J. Aramayona;K. Shackleton
摘要我们给出了一个简单的群的组合判据，当满足这个判据时，意味着这个群不能是强相对双曲的。该准则适用于几类群，如曲面映射类群、Torelli群、自由群的自同构群和外自同构群。
Abstract We give a simple combinatorial criterion for a group that, when satisfied, implies that the group cannot be strongly relatively hyperbolic. The criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups.