Consider from the b the Symmetric group. 1 2 3 5 6 7 7 5 4 1 2 36 3 5 6 = 3 7 15 a) Express each of g o disjoint cycles. 2 b) Calculate g o dispoint cycles. L - following permutations. S. ! 6 2 4 4 and тог 7 7 2 and and as products 6 of T as product

Q: Let σ denote the permutation � 1 2 3 4 5 6 7 8 9 3 8 5 6 7 4 9 2 1� in the symmetric group S9 on the…

A: Given a  permutaion  in the symmetric group S9on the set {1,2,3,4,5,6,7,8,9}1 2 3 4 5 6 7 8 93 8 5 6…

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A: please see the next step for solution

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Q: I need help solving/ understanding attached for abstarct algebra dealing with permutations   Thanks

A: To prove the property of conjugation of a 3-cycle in the Symmetric group

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A: To find- Write the following permutations in cycle notation. 1234542513 1234514325

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A: We have to solve given problem:

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A: See the detailed solution below.

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Q: 1. 3 in U(11), the group of units modulo 11.

A: As per the guidelines we can answer the first question since u have posted multiple questions.

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A: According to our guidelines we can answer only one question and rest can be reposted.

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A: See the attachment.

Q: 2. Let G be a group. Pro-

A: Let G be a group .

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A: The idea of permutation will be used in solving this problem

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Q: (1 2 3 4 5 6 7 \3 4 5 2 7 5 6 E Sz is a product of -------- 2-cycles. a = O 2 Оз 4 O 5

A: .

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A: B is the option:-U(50) As per the guidelines we can only solve one question at a time. Thank you.

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A: See solution below.

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