65 citations · 180 across the 31 of their papers we have counts for
11 papers · 1 filter
Uniform Cyclic Group Factorizations of Finite Groups
Kazuki Kanai, Kengo Miyamoto, Koji Nuida +1
In this paper, we introduce a kind of decomposition of a finite group called a uniform group factorization, as a generalization of exact factorizations of a finite group. A group $…
A Note on Centralizers of Involutions in Coxeter Groups
Koji Nuida
In this note, we give a remark on the structure of centralizers of involutions in Coxeter groups.
On Compression Functions over Groups with Applications to Homomorphic Encryption
Koji Nuida
Fully homomorphic encryption (FHE) enables an entity to perform arbitrary computation on encrypted data without decrypting the ciphertexts. An ongoing group-theoretical approach to…
Intrinsic reflections in Coxeter systems
Bernhard Mühlherr, Koji Nuida
Let be a Coxeter system and let . We call a right-angled generator of if or has infinite order for each . We call an intrin…
On finite factors of centralizers of parabolic subgroups in Coxeter groups
Koji Nuida
It has been known that the centralizer of a parabolic subgroup of a Coxeter group is a split extension of a naturally defined reflection subgroup by a subgroup…
Locally parabolic subgroups in Coxeter groups of arbitrary ranks
Koji Nuida
Despite the significance of the notion of parabolic closures in Coxeter groups of finite ranks, the parabolic closure is not guaranteed to exist as a parabolic subgroup in a genera…