Abstract
In addition to the topics in the title, this chapter presents the operations of direct product and sum, quotient group, the Noether homomorphism theorems, the Zassenhaus butterfly lemma, and exercises on permutation and alternating groups, solvable and nilpotent groups, simple groups, the Sylow theorems, and the basic theorems for abelian groups.
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General References
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Faith, C. (1973). Operations: Monoid, Semigroup, Group, and Category. In: Algebra. Die Grundlehren der mathematischen Wissenschaften, vol 190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80634-6_3
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DOI: https://doi.org/10.1007/978-3-642-80634-6_3
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