Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4 Let f = (4 5 6) and g = (1 9 8 4) (2 7 5) (3 6) be two permutations in S9. (a) Compute fogo f-¹, and write the result in cycle notation. Show your work. (b) You should see a similarity between the cycle notation for g and your answer to part (a). Precisely say what this similarity is in words, including explaining how f is involved. (c) On the basis of your answer to part (b), fill in the rest of this proposition in mathematical notation. Proposition. Let n be a positive integer and let f,g € Sn. Suppose that the cycle notation for g is (a1,1 1,2 Then the cycle notation for fogo f-¹ is a₁,k₁)... (am,1 am,2 ...am,km).

4 Let f = (4 5 6) and g = (1 9 8 4) (2 7 5) (3 6) be two permutations in S9. (a) Compute fogo f-¹, and write the result in cycle notation. Show your work. (b) You should see a similarity between the cycle notation for g and your answer to part (a). Precisely say what this similarity is in words, including explaining how f is involved. (c) On the basis of your answer to part (b), fill in the rest of this proposition in mathematical notation. Proposition. Let n be a positive integer and let f,g € Sn. Suppose that the cycle notation for g is (a1,1 1,2 Then the cycle notation for fogo f-¹ is a₁,k₁)... (am,1 am,2 ...am,km).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%
4 Let f = (4 5 6) and g = (1 9 8 4) (2 7 5)(3 6) be two permutations in S9. (a) Compute fogo f-¹, and write the result in cycle notation. Show your work. (b) You should see a similarity between the cycle notation for g and your answer to part (a). Precisely say what this similarity is in words, including explaining how f is involved. (c) On the basis of your answer to part (b), fill in the rest of this proposition in mathematical notation. Proposition. Let n be a positive integer and let f,g € Sn. Suppose that the cycle notation for g is (a₁,1 1,2 1 Then the cycle notation for fogo f-¹ is ·a₁, k₁) ・・・ (am,1 am,2 ···am,km).
Transcribed Image Text:4 Let f = (4 5 6) and g = (1 9 8 4) (2 7 5)(3 6) be two permutations in S9. (a) Compute fogo f-¹, and write the result in cycle notation. Show your work. (b) You should see a similarity between the cycle notation for g and your answer to part (a). Precisely say what this similarity is in words, including explaining how f is involved. (c) On the basis of your answer to part (b), fill in the rest of this proposition in mathematical notation. Proposition. Let n be a positive integer and let f,g € Sn. Suppose that the cycle notation for g is (a₁,1 1,2 1 Then the cycle notation for fogo f-¹ is ·a₁, k₁) ・・・ (am,1 am,2 ···am,km).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS