Purchase Solution

Given the permutation x = (1 2)(3 4)(5 6), y = (1 3 )(2 5)(4 6) find a permutation 'a' such that a^(-1)xa = y.

Not what you're looking for?

Ask Custom Question

Given the permutation x = ( 1 2 )( 3 4 )( 5 6 ), y = ( 1 3 )( 2 5 )( 4 6 ) find a permutation a such that a^( - 1) x a = y.

Purchase this Solution

Solution Summary

For this permutation there are 48 possibilities for 'a'. These possibilities are solved and listed in an attached Word file.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Modern Algebra
Group Theory (XCIV)
Permutation Groups
To find a permutation such that

By:- Thokchom Sarojkumar Sinha

Given the permutation , find a permutation such that .

Solution :- We have
Then,

Therefore

Also

...

Solution provided by:
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.