Cycle indices and subgroup lattices
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We determine the properties of the conjugate of a diagonal function \Delta by the mark function in the incidence algebra of the poset of conjugacy classes of subgroups of a finite group G. Particular choices for \Delta provide applications to the Burnside ring of G, to the theory of \beta-rings and to Redfield-Polya enumeration. In particular, we obtain a Polya-like substitution formula for the K[J]-inventory of colourings of a set whose symmetry group is a wreath product G[F].
| Original language | English |
|---|---|
| Pages (from-to) | 173-195 |
| Journal | Discrete Mathematics |
| Volume | 118 |
| DOIs | |
| Publication status | Published - 1993 |