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Please see the attachment for the text i will be referring to.

what does "I = τ1 · · · τm, where each τj is a transposition acting on {1, . . . , n}. Clearly, m != 1, thus m ≥ 2. Suppose, for the moment, that τm does not fix n".

what does fixing n mean in a transposition?

what are a.b and c??? I thought all transpositions started with 1?

what does this whole sentence mean "It follows that we can now write I as a product of m transpositions in which the first transposition to be applied fixes n (this was proved under the assumption that τm(n) != n, and I is already in this form if τm(n) = n)." ?

please help me understand lemma 1.4.3 with an example??

Thanks.....

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# Doubts from transposition, fixing and Identity

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