General Query: Self doubt(Math+Automata)

Question

Can somebody explain

What is identity permutation?

Comments

identity permutation maps each element of the set to itself. It is like $\begin{pmatrix} 3 &5 &1 &.... & &11 \\ 3&5 &1 &.... & &11 \end{pmatrix}$

How is it related to automata ?

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@ankitgupta.1729

check this, what will be answer of this question?

What is the minimum number of states in a DFA accepting the language of all words over Σ which multiply to the identity permutation?

 

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mam, I am not getting the question.  what is the meaning of "language of all words over Σ which multiply to the identity permutation" .. Is it the complete question  ?

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@ankitgupta.1729

check this question https://gateoverflow.in/302833/gate2019-15