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Classifying Groups of Small Order
Department of Mathematics and Statistics, The University of Toledo, Toledo, OH, USA
- 1 Department of Mathematics and Statistics, The University of Toledo, Toledo, OH, USA
Advances in Pure Mathematics·Volume 06 (2016)·Pages 58–65·Published 28 January 2016·DOI10.4236/apm.2016.62007
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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.
KeywordsFinite GroupDihedral GroupHistoricalPedagogical
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