The group (mathrm{D}_{3}) in Schoenflies notation (32 in international notation, which is read three-two; see Table 5.1
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The group \(\mathrm{D}_{3}\) in Schoenflies notation (32 in international notation, which is read "three-two"; see Table 5.1 ) consists of the proper (those not reflections or inversions) covering operations on an equilateral triangle. Label the vertices of a triangle as
and show that there are six proper symmetry operations and find the corresponding multiplication table. Show from this that the groups \(\mathrm{D}_{3}\) and \(\mathrm{C}_{3 \mathrm{v}}\) are isomorphic.
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Related Book For 
Symmetry Broken Symmetry And Topology In Modern Physics A First Course
ISBN: 9781316518618
1st Edition
Authors: Mike Guidry, Yang Sun
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