TITLE:
Classifying Groups of Small Order
AUTHORS:
Gerard Thompson
KEYWORDS:
Finite Group, Dihedral Group, Historical, Pedagogical
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.2,
January
28,
2016
ABSTRACT: 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.