Let (1 2 3 4 5 6 7 8° p = 7 4 1 3 6 5 8 2 (a) Write p as a product of disjoint cycles. (b) Write p as a product of transpositions. (c) Is p an even or odd permutation? Explain.

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Let
1 2 3 4 5 6 7 8
p=
7 4 1 3 6 5 8 2
(a) Write p as a product of disjoint cycles.
(b) Write p as a product of transpositions.
(c) Is p an even or odd permutation? Explain.
(d) Compute pop.
(e) Compute p-!.
(g) Find a permutation q such that
1 2 3 4 5 6 7 8
1 3 4 6 5 8 7 2
qop =
) 40
ll
10:12 PM
2021-05-23
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11' | ·10• 1 · 9 • | • 8 · | ·7· |·6•1•5•1: 4:1:3•1•2•1•1:1|:1:1:1•2|
91 · I •4I• I •8[• I •{
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View W L Let 1 2 3 4 5 6 7 8 p= 7 4 1 3 6 5 8 2 (a) Write p as a product of disjoint cycles. (b) Write p as a product of transpositions. (c) Is p an even or odd permutation? Explain. (d) Compute pop. (e) Compute p-!. (g) Find a permutation q such that 1 2 3 4 5 6 7 8 1 3 4 6 5 8 7 2 qop = ) 40 ll 10:12 PM 2021-05-23 Page: 1 of 1 B I E E E 80% e +) Words: 0 11' | ·10• 1 · 9 • | • 8 · | ·7· |·6•1•5•1: 4:1:3•1•2•1•1:1|:1:1:1•2| 91 · I •4I• I •8[• I •{
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