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Classifying Groups of Small Order

Classifying Groups of Small Order
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摘要 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. 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.
作者 Gerard Thompson Gerard Thompson(Department of Mathematics and Statistics, The University of Toledo, Toledo, OH, USA)
出处 《Advances in Pure Mathematics》 2016年第2期58-65,共8页 理论数学进展(英文)
关键词 Finite Group Dihedral Group HISTORICAL PEDAGOGICAL Finite Group Dihedral Group Historical Pedagogical
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