Orbits of Permutation Groups on Unordered Sets, III: Imprimitive Groups
作者:
Peter J. Cameron,
期刊:
Journal of the London Mathematical Society
(WILEY Available online 2016)
卷期:
Volume s2-27,
issue 2
页码: 229-237
ISSN:0024-6107
年代: 2016
DOI:10.1112/jlms/s2-27.2.229
出版商: Oxford University Press
数据来源: WILEY
摘要:
This paper studies imprimitive groupsGhaving a finite numbernk(G) of orbits onk‐sets for allk. The main results are a formula fornk(GWrH) in terms ofnk(G) and a ‘modified cycle index’ ofH, and relations between the growth rate of (nk(G)) and the structure of primitive components ofG.
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