Integer group determinants for small groups

TL;DR

This paper systematically determines the possible integer values of group determinants for all groups of order up to 14, providing a comprehensive classification for small groups.

Contribution

It offers the first complete classification of integer group determinants for all small groups of order at most 14.

Findings

Complete list of integer group determinants for groups of order up to 14

Identification of patterns in determinants across different small groups

Foundation for further research on group determinants in larger groups

Abstract

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