Abstract
This paper studies imprimitive groups G having a finite number nk(G) of orbits on k-sets for all k. The main results are a formula for nk(G Wr H) in terms of nk(G) and a ‘modified cycle index’ of H, and relations between the growth rate of (nk(G)) and the structure of primitive components of G.
Original language | English |
---|---|
Pages (from-to) | 229-237 |
Number of pages | 9 |
Journal | Journal of the London Mathematical Society |
Volume | S2-27 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 1983 |