$T$(6)循环表示群的双曲性

Pub Date : 2020-06-16 DOI:10.4171/ggd/651
Ihechukwu Chinyere, Gerald Williams
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引用次数: 2

摘要

我们考虑由循环表示定义的群,其中定义词的长度为3,并且循环表示满足T(6)小消去条件。当这些群是双曲线时,我们进行分类。当与已知结果相结合时,这将双曲T(6)循环表示的群完全分类。
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Hyperbolicity of $T$(6) cyclically presented groups
We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic. When combined with known results, this completely classifies the hyperbolic T(6) cyclically presented groups.
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