if there is one to one correspondence between two sets A and B. Then show that Sym(A)=Sym(B)?
- Anonymous2 months ago
Take a bijection
Now take a permutation σ∈Sym(A)
Show that f∘σ∘f−1 is a permutation of B
.And then show that the map
taking σ to f∘σ∘f−1 is a bijection.
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