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Distance-transitive representations of the sporadic groups

 

作者: A.A. Ivanov,   S.A. Linton,   K. Lux,   J. Saxl,   L.H. Soicher,  

 

期刊: Communications in Algebra  （Taylor Available online 1995）
卷期: Volume 23, issue 9  

页码: 3379-3427

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825406

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

A permutation representation of a finite group ismultiplicity-freeif all the irreducible constituents in the permutation character are distinct. There are three main reasons why these representations are interesting: it has been checked that all finite simple groups have such permutation representations, these are often of geometric interest, and the actions on vertices of distance-transitive graphs are multiplicity-free.

 

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