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?
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
...
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.