Author(s)

Gerard Thompson^*

Department of Mathematics and Statistics, The University of Toledo, Toledo, OH, USA.

The classification of groups of order less than 16 is reconsidered. The goal of the paper is partly historical and partly pedagogical and aims to achieve the classification as simply as possible in a way which can be easily incorporated into a first course in abstract algebra and without appealing to the Sylow Theorems. The paper concludes with some exercises for students.

Finite Group, Dihedral Group, Historical, Pedagogical

Thompson, G. (2016) Classifying Groups of Small Order. Advances in Pure Mathematics, 6, 58-65. doi: 10.4236/apm.2016.62007.