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Symmetry Rules pp 195-226 | Cite as

Group Theory Continued

Part of the The Frontiers Collection book series (FRONTCOLL)

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.

Keywords

Conjugacy Class Cyclic Group Symmetric Group Factor Group Identity Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

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