2 citations · 3 across the 4 of their papers we have counts for
4 papers
Generalized Alexander quandles of finite groups and their characterizations
Akihiro Higashitani, Hirotake Kurihara
The goal of this paper is to characterization generalized Alexander quandles of finite groups in the language of the underlying groups. Firstly, we prove that if finite groups …
Homogeneous quandles arising from automorphisms of symmetric groups
Akihiro Higashitani, Hirotake Kurihara
Quandle is an algebraic system with one binary operation, but it is quite different from a group. Quandle has its origin in the knot theory and good relationships with the theory o…
Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities
Hirotake Kurihara, Takayuki Okuda
The aim of this paper is a characterization of great antipodal sets of complex Grassmannian manifolds as certain designs with the smallest cardinalities.
Character tables of association schemes based on attenuated spaces
Hirotake Kurihara
The set of subspaces of a given dimension in an attenuated space has a structure of a symmetric association scheme and this association scheme is called an association scheme based…