2 papers
math.GT2025
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 $Ï_1(Σ_g)=\left\langle c_1,\dots, c_{2g}\mid c_1\cdots c_{2g}c_1^{-1}\cdots c_{2…
math.GT2025
On Jiang's Bounded Index Property for products of nilmanifolds
Peng Wang, Qiang Zhang, Xuezhi Zhao
In 2023, Zhang and Zhao presented the first examples of aspherical manifolds lacking the Bounded Index Property (BIP) for fixed points. This answered a question posed by Jiang in 1…