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Modern/Abstract Algebra Problem (Group Theory)

What is the number of different conjugated classes of elements of order 2 in S_5.

Solution Preview

There are 7 conjugacy classes of S_5. The conjugacy class of (12) has 10 members {(12),(13),(14),(15),(23),(24),(25),(34),(35),(45)}, the conjugacy class of (12)(34) has 15 members ...

Solution Summary

Conjugate classes are determined.