Abstract
This chapter continues the introduction to group theory started in the preceding chapter. Here are listed the more important concepts that are discussed in each section. Sect. 9.1: conjugate elements, conjugacy class, equivalence class, invariant (normal) subgroup, kernel of homomorphism. Sect. 9.2: coset, coset decomposition, Lagrange’s theorem. Sect. 9.3: coset composition, factor (quotient) group. Sect. 9.4: homomorphism. Sect. 9.5: set of generators, cyclic group, generating element. Sect. 9.6: direct product. Sect. 9.7: permutation, symmetric group. Sect. 9.8: Cayley’s theorem.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Group Theory Continued. In: Symmetry Rules. The Frontiers Collection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75973-7_9
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DOI: https://doi.org/10.1007/978-3-540-75973-7_9
Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-75973-7
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