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On the galois number and the minimal degree of doubly transitive groups

 

作者: Martin Epkenhans,   Oliver Gerstengarbe,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 10  

页码: 4889-4900

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827129

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Consider the action of a finite groupGon a setM. Then the Galois number is defined to be 1 +f, wherefis the maximal number of fixed points of an element inG, which does not act as the identity onM. We determine the Galois number and the minimal degree of all doubly transitive permutation groups.

 

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