The Spectrum of Group-Based Complete Latin Squares

  • M. A. Ollis
  • Christopher R. Tripp

Abstract

We construct sequencings for many groups that are a semi-direct product of an odd-order abelian group and a cyclic group of odd prime order.  It follows from these constructions that there is a group-based complete Latin square of order $n$ if and only if $n \in \{ 1,2,4\}$ or there is a non-abelian group of order $n$.

Published
2019-07-19
Article Number
P3.15