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On the automorphism groups of certain hypersurfaces II

 

作者: Allan Adler,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 7  

页码: 2319-2366

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408824967

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: almost maximal;alternating group;classification of finite sim- ple groups;complex representation;invariant polynomial;involution;modu- lar representation;permutation representation;reductive group over a finite field;semisimple conjugacy class;sporadic si

 

数据来源: Taylor

 

摘要:

In this article, we determine the automorphism groups of a family of cubic hypersurfaces generalizing those introduced in part I. Along the way, we determine all algebraic groups which containPSL2(Fq) and which lie inPGLn(C), whereq=2n± 1. This is accomplished using the classification of finite simple groups, information from the ATLAS of finite simple groups, the degrees of some complex representations of reductive groups over a finite field and techniques from Part I of this article needed to prove that the automorphism groups in question are finite.

 

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