论文标题
相称的HNN延伸：分层的双曲和双重性
Commensurating HNN-extensions: hierarchical hyperbolicity and biautomaticity
论文作者
论文摘要
我们构建了作用于双曲机平面的乘积和不是双毒剂的局部细胞生产的猫（0）层次双曲线组（HHG）。这给出了不是双毒剂的HHG的第一个示例，这是非双毒性猫（0）扁平级2组的第一个示例，也是HHG的第一个示例，它的HHG示例是Injementive但不是Helly的。我们的证明很大程度上利用了屈曲表面的大地电流空间。
We construct a CAT(0) hierarchically hyperbolic group (HHG) acting geometrically on the product of a hyperbolic plane and a locally-finite tree which is not biautomatic. This gives the first example of an HHG which is not biautomatic, the first example of a non-biautomatic CAT(0) group of flat-rank 2, and the first example of an HHG which is injective but not Helly. Our proofs heavily utilise the space of geodesic currents for a hyperbolic surface.
