Orbits of permutation groups on unordered sets, III: Imprimitive groups

Peter J. Cameron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)229-237
Number of pages9
JournalJournal of the London Mathematical Society
VolumeS2-27
Issue number2
DOIs
Publication statusPublished - 1 Jan 1983

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