If a = (13)(25) and b = (23)(14) in S_5, determine all x ∈ S_5 such that xax-¹ = b.

How many such x's are there?

Thanks for any input,

feyomi

- February 28th 2012, 01:51 PMfeyomiIf a = (13)(25) and b = (23)(14) in S_5, determine all x ∈ S_5 such that xax-¹ = b.
If a = (13)(25) and b = (23)(14) in S_5, determine all x ∈ S_5 such that xax-¹ = b.

How many such x's are there?

Thanks for any input,

feyomi