4 papers
Twisted Alexander vanishing groups of knots
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
In our previous work, we introduced the notion of a twisted Alexander vanishing (TAV) group, defined as a finite group for which the corresponding twisted Alexander polynomial of a…
Twisted Alexander polynomials of a knot for group extensions
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
In this paper, we discuss twisted Alexander polynomials of a knot for group extensions of a finite group in two directions. Firstly, we provide a mod formula for the twisted Al…
Twisted Alexander vanishing order of knots II
Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki
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 twis…
Torsion elements in the associated graded of the -filtration of the monoid of homology cylinders
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
Clasper surgery induces the -filtration over the monoid of homology cylinders, which serves as a -dimensional analogue of the lower central series of…