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15. If : DC such that A CD, then f-¹[[A]] CA. 1 2 3 4 5 16. Consider the permutations f 5 3 1 2 4 {1,2,3,4,5). Then go f = 1 2 21 3 4 5 43 5 and g 1 2 3 4 5 4 3 1 5 2 on the set

15. If : DC such that A CD, then f-¹[[A]] CA. 1 2 3 4 5 16. Consider the permutations f 5 3 1 2 4 {1,2,3,4,5). Then go f = 1 2 21 3 4 5 43 5 and g 1 2 3 4 5 4 3 1 5 2 on the set

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 6E: 6. Prove that if is a permutation on , then is a permutation on .
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15. If : DC such that ACD, then f-¹[[A]] CA. 16. Consider the permutations f = 1 2 3 4 5 5 3 12 4 $) {1, 2, 3, 4, 5). Then go f = 1 21 2 3 4 5 43 5 and g 1 2 3 4 5 4 3 15 2 on the set
Transcribed Image Text:15. If : DC such that ACD, then f-¹[[A]] CA. 16. Consider the permutations f = 1 2 3 4 5 5 3 12 4 $) {1, 2, 3, 4, 5). Then go f = 1 21 2 3 4 5 43 5 and g 1 2 3 4 5 4 3 15 2 on the set
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