论文标题
某些二维Artin组的剩余有限性
Residual finiteness of certain 2-dimensional Artin groups
论文作者
论文摘要
我们表明，许多$ 2 $维的Artin团体都是剩余的。这包括带有标签的$ 3 $ GENERATOR ARTIN GROUP $ \ geq 4 $，除了$（200万+1，4,4）$，对于任何$ M \ geq 2 $。作为迈向残留有限的第一步，我们表明，这些Artin组以及更多的人将其作为免费产品或HNN扩展的免费产品分为有限排名。除其他外，这对于所有大型ARTIN组都具有定义图的定义，每个简单周期都应定向。
We show that many $2$-dimensional Artin groups are residually finite. This includes $3$-generator Artin groups with labels $\geq 4$ except for $(2m+1, 4,4)$ for any $m\geq 2$. As a first step towards residual finiteness we show that these Artin groups, and many more, split as free products with amalgamation or HNN extensions of finite rank free groups. Among others, this holds for all large type Artin groups with defining graph admitting an orientation, where each simple cycle is directed.
