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  • https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Combinatorics_Through_Guided_Discovery_(Bogart)/06%3A_Groups_Acting_on_Sets/6.03%3A_Polya-Redfield_Enumeration_Theory
    George Pólya and Robert Redfield independently developed a theory of generating functions that describe the action of a group G on colorings of a set S by a set T when we know the action of G on S. Pó...George Pólya and Robert Redfield independently developed a theory of generating functions that describe the action of a group G on colorings of a set S by a set T when we know the action of G on S. Pólya’s work on the subject is very accessible in its exposition, and so the subject has become popularly known as Pólya theory, though Pólya-Redfield theory would be a better name. In this section we develop the elements of this theory.

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