15. Enumeration under group action
‘I count a lot of things that there’s no need to count,’ Cameron said. ‘Just because that’s the way I am. But I count all the things that need to be counted.’
Richard Brautigan, The Hawkline Monster (1974)
TOPICS: Orbit-counting Lemma; cycle index; enumeration of functions by weight
TECHNIQUES: Calculation of cycle index
In this chapter, ...