Solution Found!
Let be the permutation of the letters A through Z that
Chapter 5, Problem 21E(choose chapter or problem)
Problem 21E
Let σ be the permutation of the letters A through Z that takes each letter to the one directly below it in the display following. Write s in cycle form.
A B C D E F G H I J K L M NO P Q R S T U V W X Y Z
H D B G J E C M I L O N P F K R U S A W Q T V Z X Y
Questions & Answers
QUESTION:
Problem 21E
Let σ be the permutation of the letters A through Z that takes each letter to the one directly below it in the display following. Write s in cycle form.
A B C D E F G H I J K L M NO P Q R S T U V W X Y Z
H D B G J E C M I L O N P F K R U S A W Q T V Z X Y
ANSWER:
Step 1 of 6
Consider the following permutation
Starting from the first element (A), the algorithm for solving problems like this as follows
1, Take an element from the original (unpermitted) set and call it x.
2. Note the mapping of the above element by. That is y such that
3. Look for an entry of the y in the original set. Note its mapping z, that is
4. Continue unit a mapped element which is x (the element first started out with) is obtained.
5. This comprises one cycle. Repeat 1-4 until an element is exhausted.