Yuto Nogata

collaborators

4 papers

math.NT2026

Cyclotomic Numbers of Order $q - 1$ over $F_{q^{r}}$

Hayaki Kudo, Yuto Nogata

Let $q = p^{n}$ , $r \in Z_{\geq 2}$ , $e = q - 1$ , and $k = \frac{q ^{r} - 1}{e}$ . In this paper, we study the cyclotomic numbers $(a, b)_{q - 1}$ over $F_{q^{r}}$ . We prove that $(a,b)…

math.GR2025

Non-isomorphic metacyclic $p$ -groups of split type with the same group zeta function

Yuto Nogata

For a finite group $G$ , let $a_{n} (G)$ be the number of subgroups of order $n$ and define $I^¶_{G} (s) = \sum_{n \geq 1} a_{n} (G) n^{- s}$ . Examples are known of non-isomorphic finite groups wit…

math.GR2025

Classification and lattice properties of pronormal subgroups in PSL(2,q), J1, and Sz(q) for the specified values of q

Yuto Nogata

We complete the classification of pronormal subgroups in the projective special linear groups PSL(2,q), the Suzuki groups of Lie type Sz(q), and the first Janko group J1, for the s…

math.CO2025

Simple $3$ -designs of $PSL (2, 2^{n})$ with block size $13$

Takara Kondo, Yuto Nogata

This paper investigates simple $3$ - $(2^{n} + 1, 13, I^»)$ designs admitting $PSL$ $(2, 2^{n})$ as an automorphism group. We determine all possible values of $I^»$ by systematically an…

Cyclotomic Numbers of Order q−1 over Fqr​

Non-isomorphic metacyclic p-groups of split type with the same group zeta function

Classification and lattice properties of pronormal subgroups in PSL(2,q), J1, and Sz(q) for the specified values of q

Simple 3-designs of PSL(2,2n) with block size 13

Cyclotomic Numbers of Order $q - 1$ over $F_{q^{r}}$

Non-isomorphic metacyclic $p$ -groups of split type with the same group zeta function

Simple $3$ -designs of $PSL (2, 2^{n})$ with block size $13$