Takuya Sakasai

collaborators

4 papers

math.GR2025

The spherical growth series of amalgamated free products of infinite cyclic groups

Michihiko Fujii, Takuya Sakasai

Let $n$ be an integer greater than $1$ . We consider a group presented as $G (p_{1}, p_{2}, \dots, p_{n}) = ⟨ x_{1}, x_{2}, \dots, x_{n} ∣ x_{1}^{p_{1}} = x_{2}^{p_{2}} = \dots = x_{n}^{p_{n}} ⟩$ , with…

math.GT2025

The knot quandles of Suciu's ribbon $n$ -knots and automorphisms on the free group of rank two

Takuya Sakasai, Kokoro Tanaka

JabÅonowski proved that the knot quandles of Suciu's $n$ -knots, which share isomorphic knot groups, are mutually non-isomorphic, and Yasuda later gave a different proof. In this p…

math.GR2025

On the structure of groups defined by Kim and Manturov

Carl-Fredrik Nyberg-Brodda, Takuya Sakasai, Yuuki Tadokoro +1

We study the structure of a series of groups $I^_{n}^{4}$ defined by Kim and Manturov. We show that the groups are finite for all $n \geq 6$ and in fact they are 2-step nilpotent $2$ -gr…

math.GT2025

Minimal generating sets of groups of Kim-Manturov

Takuya Sakasai, Yuuki Tadokoro, Kokoro Tanaka

We consider a series of groups defined by Kim and Manturov. These groups have their background in triangulations of a surface and configurations of points, lines or circles on the…

The spherical growth series of amalgamated free products of infinite cyclic groups

The knot quandles of Suciu's ribbon n-knots and automorphisms on the free group of rank two

On the structure of groups defined by Kim and Manturov

Minimal generating sets of groups of Kim-Manturov

The knot quandles of Suciu's ribbon $n$ -knots and automorphisms on the free group of rank two