Consider the following 3 permutations in S10: 12345 6 78910 1 4 5 6 8 10 7 9 2 3 σ= H= T= 12 3 4 5 6 7 8 9 10 2 5 10 4 9 7 6 381 1 2 3 4 5 6 7 8 9 10 10 9 8 4 3 2 1 5 6 7 Jompute τμ-1σ. Express as a product of disjoint cycles and then as a product of transpositions. Find the smallest value of n so that " = i, where i is the identity permutation. Find μ¹00.
Consider the following 3 permutations in S10: 12345 6 78910 1 4 5 6 8 10 7 9 2 3 σ= H= T= 12 3 4 5 6 7 8 9 10 2 5 10 4 9 7 6 381 1 2 3 4 5 6 7 8 9 10 10 9 8 4 3 2 1 5 6 7 Jompute τμ-1σ. Express as a product of disjoint cycles and then as a product of transpositions. Find the smallest value of n so that " = i, where i is the identity permutation. Find μ¹00.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 50E
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Transcribed Image Text:Consider the following 3 permutations in S10:
σ=
1 2 3 4 5
6
1 4 5 6 8 10
7
8
9 10
7 9 2 3
μl =
T =
12 3
2 5 10
1
2 3 4 5 6 7 8 9 10
10 9 8 4 3 2 1 5 6
7
4 5
4 9
6 7 8 9 10
3 8
7
6
1
Jompute τμ-1σ.
Express μ as a product of disjoint cycles and then as a product of transpositions.
Find the smallest value of n so that " = i, where i is the identity permutation.
Find ¹00
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