Word Length Formulae and Normal Forms of Conjugacy Classes in Surface Groups

Ke Wang, Qiang Zhang, Xuezhi Zhao

In this paper, we primarily investigate the following symmetric presentation of the surface group $π_1(Σ_g)=\left\langle c_1,\dots, c_{2g}\mid c_1\cdots c_{2g}c_1^{-1}\cdots c_{2…