A. Hanaki

collaborators

3 papers

math.GR2026

Classification of skew left braces with additive group isomorphic to the infinite dihedral group

Akihide Hanaki, Yuto Sakata, Hiroki Yoshino

We classify all skew left braces with additive group isomorphic to the infinite dihedral group. There are ten isomorphism classes.

math.CO2025

On new proper Jordan schemes related to quaternion and octonion algebras

Akihide Hanaki, Masayoshi Yoshikawa

We present a construction of a Jordan scheme from an elementary abelian $2$ -group of rank $n$ and a ${1, - 1}$ -matrix of order $2^{n}$ that satisfies a specified condition. We then p…

math.CO2025

3-Designs from PSL(2,q) with cyclic starter blocks

Akihide Hanaki, Kenji Kobayashi, Akihiro Munemasa

We consider when the projective special linear group over a finite field defines a $3$ -design with a cyclic starter block. We will show that the equivalences of the existence of su…