Keisuke Himeno

collaborators

4 papers

math.GT2024

Hyperbolic knots with arbitrarily large torsion order in knot Floer homology

Keisuke Himeno, Masakazu Teragaito

In knot Floer homology, there are two types of torsion order. One is the minimal power of the action of the variable $U$ to annihilate the $F_{2} [U]$ -torsion submodule of th…

math.GT2024

Twisted right-angled Artin groups embedded in knot groups

Keisuke Himeno, Masakazu Teragaito

Twisted right-angled Artin groups are defined through presentation based on mixed graphs. Each vertex corresponds to a generator, each undirected edge yields a commuting relation a…

math.GT2024

Classification of generalized torsion elements of order two in 3-manifold groups

Keisuke Himeno, Kimihiko Motegi, Masakazu Teragaito

Let $G$ be a group and $g$ a non-trivial element in $G$ . If some non-empty finite product of conjugates of $g$ equals to the identity, then $g$ is called a generalized torsion elem…

math.GT2022

Generalized torsion, unique root property and Baumslag--Solitar relation for knot groups

Keisuke Himeno, Kimihiko Motegi, Masakazu Teragaito

Let $G$ be a group. If an equation $x^{n} = y^{n}$ in $G$ implies $x = y$ for any elements $x$ and $y$ , then $G$ is called an $R$ --group. It is completely understood which knot groups…