Recent content by katesmith410

  1. K

    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?
  2. K

    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?
  3. K

    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.
  4. K

    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...
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