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Classifying Groups of Small Order

DOI: 10.4236/apm.2016.62007, PP. 58-65

Keywords: Finite Group, Dihedral Group, Historical, Pedagogical

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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.

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