10 citations · 15 across the 13 of their papers we have counts for
13 papers
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.
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 -group of rank and a -matrix of order that satisfies a specified condition. We then p…
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 -design with a cyclic starter block. We will show that the equivalences of the existence of su…
Weights on homogeneous coherent configurations
Akihide Hanaki
D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our we…
Construction of rank self-dual association schemes inducing three partial geometric designs
Akihide Hanaki
B. Xu characterized rank self-dual association schemes inducing three partial geometric designs by their character tables. We construct such association schemes as Schur rings…
Terwilliger algebras and some related algebras defined by finite connected simple graphs
Akihide Hanaki, Masayoshi Yoshikawa
For a finite connected simple graph, the Terwilliger algebra is a matrix algebra generated by the adjacency matrix and idempotents corresponding to the distance partition with resp…