Hyperbolic Groups That Are Not Commensurably Co-Hopfian
Hyperbolic Groups That Are Not Commensurably Co-Hopfian
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DOI：
10.1093/imrn/rnaa033
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发表时间：
2018-12
影响因子：
1
通讯作者：
Emily Stark;Daniel J. Woodhouse
中科院分区：
文献类型：
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作者：
Emily Stark;Daniel J. Woodhouse
Sela证明了每一个无挠单端双曲群都是余霍普夫群。我们证明了存在无挠的单端双曲群，它们不是可分解的余霍普夫群。特别是，我们表明，每个简单的表面汞齐的基本组是不可避免的共同霍普夫。
Sela proved that every torsion-free one-ended hyperbolic group is co-Hopfian. We prove that there exist torsion-free one-ended hyperbolic groups that are not commensurably co-Hopfian. In particular, we show that the fundamental group of every simple surface amalgam is not commensurably co-Hopfian.