The class equation for a group G can be written |G| = |Z(G)| + E|CI(a), where the sum runs over representatives of the distinct non-central conjugacy classes. Recall that the conjugacy classes for S3 are {1}, {(123), (132)} and {(12), (13), (23)}. Therefore the class equation of S3 is given by | S3| = 1+ 2 + 3. a) Find the conjugacy classes for Dg and write the class equation for Dg.
The class equation for a group G can be written |G| = |Z(G)| + E|CI(a), where the sum runs over representatives of the distinct non-central conjugacy classes. Recall that the conjugacy classes for S3 are {1}, {(123), (132)} and {(12), (13), (23)}. Therefore the class equation of S3 is given by | S3| = 1+ 2 + 3. a) Find the conjugacy classes for Dg and write the class equation for Dg.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The class equation for a group G can be written |G| = |Z(G)| + E|CI(a), where the
sum runs over representatives of the distinct non-central conjugacy classes.
Recall that the conjugacy classes for S3 are {1}, {(123), (132)} and {(12), (13), (23)}.
Therefore the class equation of S3 is given by | S3| = 1+ 2 + 3.
a)
Find the conjugacy classes for Dg and write the class equation for Dg.
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