In this paper, we study representations of [Formula: see text]-like groups. The group [Formula: see text] itself appeared in works of the third named author on non-Reidemeister knot (and braid) theory. This group is closely related to dynamical systems of points and their invariants. Representations of [Formula: see text]-like groups are useful both for the study of those groups themselves, and constructing invariants of knots and braids based on the [Formula: see text]-like group structure.

中文翻译：

---

Gn3 和相关组的表示

在本文中，我们研究了 [公式：见文本] 类组的表示。[公式：见正文] 组本身出现在第三位作者关于非 Reidemeister 结（和辫子）理论的作品中。该组与点的动力系统及其不变量密切相关。[公式：参见文本] 类群的表示对于研究这些群本身以及构建基于 [公式：参见文本] 类群结构的结和辫子的不变量都是有用的。