On the cycle index of a product of permutation groups. (English) Zbl 0246.20002
MSC:
| 20B05 | General theory for finite permutation groups |
| 05A15 | Exact enumeration problems, generating functions |
| 20C30 | Representations of finite symmetric groups |
Online Encyclopedia of Integer Sequences:
Number of equivalence classes of 3-valued Post functions of n variables under action of symmetric group S_n.Number of equivalence classes of n-valued Post functions of 2 variables under action of symmetric group S_2.
Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,3).
Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric group S_2 and complementing group C(2,n).
Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group D(n,3).
Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric group S_2 and complementing group D(2,n).
Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric groups S_n and S(n,3).
Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric groups S_2 and S(2,n).
Number of equivalence classes of n-valued Post functions of 1 variable under action of complementing group C(1,n).
Number of equivalence classes of 4-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,4).
Number of equivalence classes of n-valued Post functions of 3 variables under action of semi-direct product of symmetric group S_3 and complementing group C(3,n).
Number of equivalence classes of 4-valued Post functions of n variables under action of symmetric group S_n.
Number of equivalence classes of n-valued Post functions of 3 variables under action of symmetric group S_3.
