AI 中文总结
研究有限生成群中表示共轭元素的一对字的共轭元长度函数，通过解释意义、综述已知情况及介绍基本技术和例子来推动其系统研究。
AI 中文摘要
有限生成群\(G\)的共轭元长度函数给出了\(G\)中表示共轭元素的一对字的长度之和的函数，即共轭元长度的最小上界。在此，我们试图通过解释其意义、综述关于它们的已知情况以及解释基本技术和例子来推动对共轭元长度函数的系统研究。
英文摘要
The conjugator length function of a finitely generated group $G$ gives the minimal upper bound on the length of a conjugator for a pair of words that represent conjugate elements in $G$, as a function of the sum of the lengths of the words. Here, we seek to promote the systematic study of conjugator length functions by explaining their significance, by surveying what is known about them and by explaining fundamental techniques and examples.
Comments45 pages, 14 figures
