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Groups and FieldsEasyPermutation Groups

Permutation Groups · Easy problem

What is sgn⁡(ϕ)\operatorname{sgn}(\phi) for ϕ=(1 5)(2 6)(3 7)(4 8)∈S8\phi = (1\,5)(2\,6)(3\,7)(4\,8) \in S_8, a product of four disjoint transpositions?