Christopher G. Pinner

activity

20142026

most citedMinimal Group Determinants For Dicyclic Groups

12 citations · 39 across the 18 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.NT2018

The integer group determinants for the symmetric group of degree four

Christopher Pinner

For the symmetric group $S_{4}$ we determine all the integer values taken by its group determinant when the matrix entries are integers.

math.NT2018

Integer group determinants for small groups

Christopher Pinner, Christopher Smyth

For every group of order at most 14 we determine the values taken by its group determinant when its variables are integers.

math.NT2018★ 1 cited

The Lind-Lehmer Constant for $Z_{2}^{r} \times Z_{4}^{s}$

Michael J. Mossinghoff, Vincent Pigno, Christopher Pinner

We show that the minimal positive logarithmic Lind-Mahler measure for a group of the form $G = Z_{2}^{r} \times Z_{4}^{s}$ with $∣ G ∣ \geq 4$ is $\frac{1}{∣ G ∣} lo g (∣ G ∣ - 1) .$ We…

math.NT2018

A generalization of the Goresky-Klapper conjecture, Part I

Badria Alsulmi, Todd Cochrane, Michael J. Mossinghoff +4

For a fixed integer $n \geq 2,$ we show that a permutation of the least residues mod $p$ of the form $f (x) = A x^{k}$ mod $p$ cannot map a residue class mod $n$ to just one residue class…

math.NT2018★ 4 cited

Minimal group determinants and the Lind-Lehmer problem for dihedral groups

Ton Boerkoel, Christopher Pinner

We find the minimal non-trivial integer variable group determinant for any dihedral group of order less than $3.79 \times 1 0^{47}$ . We think of this as the Lind-Lehmer problem for t…

The integer group determinants for the symmetric group of degree four

Integer group determinants for small groups

The Lind-Lehmer Constant for Z2r​×Z4s​

A generalization of the Goresky-Klapper conjecture, Part I

Minimal group determinants and the Lind-Lehmer problem for dihedral groups

The Lind-Lehmer Constant for $Z_{2}^{r} \times Z_{4}^{s}$