Describe the conjugacy class and write the class equation for x .

here being the symmetries of the equilateral triangle.

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- March 1st 2009, 11:23 AMfrankdent1conjugacy class and class equation
Describe the conjugacy class and write the class equation for x .

here being the symmetries of the equilateral triangle. - March 1st 2009, 06:52 PMThePerfectHacker
Let then .

The conjugacy classes for are: .

The conjugacy classes for are: .

Therefore the conjugacy classes for are where is a conjugacy class of and is a conjugacy class of . Note, there are total of conjugacy classes for . Furthermore, , so there are three conjugacy classes that has 1 element, three conjugacy classes that have 2 elements, three conjugacy classes that have 3 elements.

Thus, the class equation is: .