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Minimal dimensions for modular representations of the monster

 

作者: Robert L. Griess,   Stephen D. Smith,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 15  

页码: 6279-6294

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825189

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

It is well known that the minimal dimension of a nontrivial complex representation of the Monster is realized by Griess's module of dimension 196883. We show that the corresponding p-modular reduction also realizes the minimal dimension for character¬istics p≠2,3; but in those exceptional characteristics, involves a composition factor of the minimal dimension 196882.

 

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