# Modern/Abstract Algebra Problem (Group Theory)

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

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:44 pm ad1c9bdddfhttps://brainmass.com/math/group-theory/modern-abstract-algebra-problem-group-theory-8414

#### 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.

$2.49