Question
Asked Sep 22, 2019
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For S3, describe the conjugacy classes of S3 by listing one representative from each class and, at the same time, giving the size of that conjugacy class.

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Expert Answer

Step 1

To write down the conjugacy classes in S3, the symmetric group on 3 symbols

Step 2

There are three conjugacy classes of size...

s e, (12), (13).(23), (123). (132)}
The conjugacy classes are:
C {e},size = 1;
C {(12),se 3
C 123),size= 2
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s e, (12), (13).(23), (123). (132)} The conjugacy classes are: C {e},size = 1; C {(12),se 3 C 123),size= 2

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