We consider groups defined by cyclic presentations where the defining word has length 3 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.

中文翻译：

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$T$(6) 周期性呈现组的双曲线

我们考虑由循环表示定义的组，其中定义词的长度为 3，并且循环表示满足 $T$(6) 小取消条件。我们对这些组何时是双曲线进行分类。结合已知结果，这完全分类了双曲线 $T$(6) 循环呈现的组。