Asked Sep 22, 2019

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.


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

Image Transcriptionclose

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


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in


Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add

Q: In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs...

A: It is known that 1 dollar is 15 pesos, 1 dollar is 100cents and 1 kg is 2.205lb.Given that avocados ...


Q: 16

A: It is known that in the group Zn , if  d divides n , then Zn has a unique subgroup of order d and th...


Q: For part b, why is 24 counted when we are looking for O'?

A: To explain:  


Q: Suppose T: R^3 —> R^3 is a linear transformation and (v1,v2,v3) is a linearly dependent set of ve...

A: To show that the linear transformation T takes linearly dependent sets to linearly dependent sets


Q: DIFFERENTIAL EQUATIONS: Using the power series method, solve the given initial value problem: y"+x2y...

A: Click to see the answer


Q: Perform the following calculations to the correct number of significant figures. [(2.81×106)÷42.170]...

A: Calculation:Perform the calculation to the correct number of significant figures as follows.[(2.81×1...


Q: I need help for problem (h). Check that the set at (h) is a subspace of Rn or not.

A: (h) To decide if the given subset (expressed as linear combinations of three vectors) is a subspace ...


Q: Prove that in any group, an element and its inverse have the same order.

A: Proof:Let x be a element in a group and x−1 be its inverse.Assume o(x) = m and o(x−1) = n.It is know...


Q: 6142 X 204=?

A: Given that the expression is