Twisted Alexander vanishing order of knots II
Published: Oct 29, 2025
Last Updated: Oct 29, 2025
Authors:Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
Abstract
In our previous work, we introduced the notion of the twisted Alexander vanishing order of knots, defined as the order of the smallest finite group for which the corresponding twisted Alexander polynomial vanishes. In this paper, we explore several properties of this invariant in detail and present a list of twisted Alexander vanishing groups of order less than $201$.