论文标题
换向器的换值组长度
Commutator length of powers in free products of groups
论文作者
论文摘要
给定的组$ a $ a $ a和$ b $，在a*b $中，元素$ g \的第2020个功率的最小换向器长度是多少？对这个问题的详尽答案仍然未知，但是我们几乎可以给出一个答案：最低是两个数字之一（仅取决于$ a $ a $ and $ b $）。还考虑了其他类似的问题。
Given groups $A$ and $B$, what is the minimal commutator length of the 2020th (for instance) power of an element $g\in A*B$ not conjugate to elements of the free factors? The exhaustive answer to this question is still unknown, but we can give an almost answer: this minimum is one of two numbers (simply depending on $A$ and $B$). Other similar problems are also considered.
