Yuka Yamaguchi

collaborators

4 papers

math.NT2023

Wolstenholme primes and group determinants of cyclic groups

Cid Reyes-Bustos, Naoya Yamaguchi, Yuka Yamaguchi

A Wolstenholme prime is a prime number $p \geq 5$ that divides the numerator of the Bernoulli number $B_{p - 3}$ . A number of equivalent definitions for Wolstenholme primes are known…

math.NT2023

A necessary and sufficient condition for a prime to be an integer group determinant of certain $p$ -groups

Yuka Yamaguchi, Naoya Yamaguchi

We give a necessary and sufficient condition for a prime to be an integer group determinant for an arbitrary abelian $p$ -group of the form $C_{p} \times H$ , where ${\rm C}_{p…

math.NT2023

Integer group determinants for $C_{4} ⋊ C_{4}$

Yuka Yamaguchi, Naoya Yamaguchi

Let $C_{4}$ be the cyclic group of order $4$ . We determine all possible values of the integer group determinant of $C_{4} ⋊ C_{4}$ .

math.NT2023

Integer group determinants for $C_{2}^{2} ⋊ C_{4}$

Yuka Yamaguchi, Naoya Yamaguchi

For any positive integer $n$ , let $C_{n}$ be the cyclic group of order $n$ . We determine all possible values of the integer group determinant of ${\rm C}_{2}^{2} \rtimes C_{4…

Wolstenholme primes and group determinants of cyclic groups

A necessary and sufficient condition for a prime to be an integer group determinant of certain p-groups

Integer group determinants for C4​⋊C4​

Integer group determinants for C22​⋊C4​

A necessary and sufficient condition for a prime to be an integer group determinant of certain $p$ -groups

Integer group determinants for $C_{4} ⋊ C_{4}$

Integer group determinants for $C_{2}^{2} ⋊ C_{4}$