We prove that for $n\geqslant 4$, every knot has infinitely many conjugacy classes of $n$-braid representatives if and only if it has one admitting an exchange move.

中文翻译：

---

交换动作和结的非共轭编织代表

我们证明对于$n\geqslant 4$，每个结都有无穷多个共轭类$n$-当且仅当它有一个承认交换动作的辫子代表。