SOLUTION: Find the multiplicative inverses of the given elements if they exist: [11]16 𝑖𝑛 ℤ16 𝑎𝑛𝑑 [38]83 𝑖𝑛 ℤ83 . Let 𝑎 be a fixed element of a group 𝐺 and l

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Question 1182329: Find the multiplicative inverses of the given elements if they exist:
[11]16 𝑖𝑛 ℤ16 𝑎𝑛𝑑 [38]83 𝑖𝑛 ℤ83 .
Let 𝑎 be a fixed element of a group 𝐺 and let
𝑁(𝑡) = {𝑥 ∈ 𝐺 ∶ 𝑥𝑡 = 𝑡𝑥}.
Show that 𝑁(𝑡) is a subgroup of 𝐺.
Find the order and inverse of the permutation
(
1 2 3
2 5 4
4 5 6
3 6 1
) .

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

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