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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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