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Abstract

In Chapters 2 and 3, we have used some concepts of group theory in a practical fashion. In this chapter, we restate the axioms of the group theory and several ralated concepts such as subgroups and cosets in a more logical fashion. Two types of partitions of group elements are discussed to classify them. The one is a partition according to cosets. And the other is a partition based on conjugacy.

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Bibliography

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© 1991 Springer-Verlag Berlin Heidelberg

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Fujita, S. (1991). Axioms and Theorems of Group Theory. In: Symmetry and Combinatorial Enumeration in Chemistry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76696-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-76696-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54126-4

  • Online ISBN: 978-3-642-76696-1

  • eBook Packages: Springer Book Archive

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