论文标题
辫子小组的商标子组的商
Quotients of braid groups by their congruence subgroups
论文作者
论文摘要
辫子组的一致子组来自整体burau表示的一致性条件$ b_n \ to \ permatatorName {gl} _ {n}（\ mathbb z）$。我们在$ \ operatotorname {gl} _ {n}（\ mathbb z）$中找到了此类一致性子组的图像 - Dan Margalit提出的一个开放问题。此外，我们以辫子的一致性亚组来表征辫子组的商。
The congruence subgroups of braid groups arise from a congruence condition on the integral Burau representation $B_n \to \operatorname{GL}_{n}(\mathbb Z)$. We find the image of such congruence subgroups in $\operatorname{GL}_{n}(\mathbb Z)$-an open problem posed by Dan Margalit. Additionally, we characterize the quotients of braid groups by their congruence subgroups in terms of symplectic congruence subgroups.
