Twisted Alexander vanishing order of knots II
Katsumi Ishikawa, Takayuki Morifuji, and Masaaki Suzuki
TL;DR
This paper investigates the properties of the twisted Alexander vanishing order of knots, focusing on identifying groups with order less than 201 where the associated twisted Alexander polynomial vanishes, expanding understanding of this knot invariant.
Contribution
It provides detailed analysis of the twisted Alexander vanishing order and compiles a list of relevant groups under 201, advancing the study of this knot invariant.
Findings
Identified all twisted Alexander vanishing groups of order less than 201.
Analyzed properties of the twisted Alexander vanishing order.
Extended previous work on the invariant's behavior and applications.
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 .
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