Recent content by katesmith410
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Graduate Permutations: Explaining & Finding A, A^-1 & 2 Examples of σ
Oh right, I think i understand now! So am I right in saying then that for every transposition σ=σ^-1? So for my question, σ=(13)(254) but can i also say that σ=(13)(25)(54)(42)? Therefore σ would be equal to its inverse?- katesmith410
- Post #7
- Forum: Calculus
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Graduate Permutations: Explaining & Finding A, A^-1 & 2 Examples of σ
Surely it can't hold for every transposition, as in the case for the transposition σ=(1234), σ≠σ^-1?- katesmith410
- Post #5
- Forum: Calculus
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Graduate Permutations: Explaining & Finding A, A^-1 & 2 Examples of σ
Hi :) Is it right to say that for your given example that, σ=(12)=σ^-1 When σ=(1234), I know that σ^-1=(1432). But I am unsure what permutation holds for σ=σ^-1.- katesmith410
- Post #3
- Forum: Calculus
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K
Graduate Permutations: Explaining & Finding A, A^-1 & 2 Examples of σ
Let n ∈ N. Explain what is meant by saying that π is a permutation of n = {1, 2, . . . , n}. The permutation A is given below in two line notation. Write A in disjoint cycle notation. 1 2 3 4 5 3 5 1 2 4 Find A^-1, writing your answer in disjoint cycle notation. Give two examples of...- katesmith410
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- Permutation
- Replies: 6
- Forum: Calculus