Help please! Permutation

[SorinC24]

Consider permutation
σ =
(1 2 3 4 5 6 7
7 6 1 3 4 2 5).
a) Write σ as a product of independent cycles.
b) Write σ-1 as a transposition product.
c) Find m (σ) and sign (σ).
d) Determine [S7: 〈σ〉].
Pleasee

 

[Deleted member 4993]

Consider permutation
σ =
(1 2 3 4 5 6 7
7 6 1 3 4 2 5).
a) Write σ as a product of independent cycles.
b) Write σ-1 as a transposition product.
c) Find m (σ) and sign (σ).
d) Determine [S7: 〈σ〉].
Pleasee

Can you please define following terms as discussed in your textbook:

product of independent cycles​

​

transposition product​

​

m (σ), sign (σ) & [S7: 〈σ〉]​

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