PairGroupIndex

PairGroupIndex[g,x]
returns the cycle index of the pair group induced by g as a polynomial in x[1], x[2], .

PairGroupIndex[ci,x]
takes the cycle index ci of a group g with formal variables x[1], x[2], , and returns the cycle index of the pair group induced by g.

PairGroupIndex[g,x,Ordered]
returns the cycle index of the ordered pair group induced by g as a polynomial in x[1], x[2], .

PairGroupIndex[ci,x,Ordered]
takes the cycle index ci of a group g with formal variables x[1], x[2], , and returns the cycle index of the ordered pair group induced by g.

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