Chris Pinner

collaborators

3 papers

math.NT2025

The integer group determinants for $G A (1, q)$

Andrew Ostergaard, Chris Pinner

We show that the integer group determinants for the general affine group of degree one, $G A (1, q)$ with $q = p^{k}$ a prime power, take the form $D = A B^{q - 1},$ where $A$ is a $\mathbb Z_…

math.NT2025

The integer group determinants for GA(1,p) and related semidirect products

Humberto Bautista Serrano, Bishnu Paudel, Chris Pinner

We consider the integer group determinants for groups that are semidirect products of $Z_{p}$ and $Z_{n}$ with $p$ prime and $n ∣ p - 1$ . We give a complete description…

math.NT2024

The integer group determinants for the abelian groups of order 18

Bishnu Paudel, Chris Pinner

We obtain a complete description of the integer group determinants for $Z_{18}$ (these are the $18 \times 18$ circulant determinants with integer entries) and $\mathbb Z_3 \t…

The integer group determinants for GA(1,q)

The integer group determinants for GA(1,p) and related semidirect products

The integer group determinants for the abelian groups of order 18

The integer group determinants for $G A (1, q)$