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Suzuki Groups and Surfaces

 

作者: Gareth A. Jones,   Stephen A. Silver,  

 

期刊: Journal of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume s2-48, issue 1  

页码: 117-125

 

ISSN:0024-6107

 

年代: 2016

 

DOI:10.1112/jlms/s2-48.1.117

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

We show that the least genus of any compact Riemann surfaceS, admitting a simple Suzuki groupG= Sz(q) as a group of automorphisms, is equal to 1 + |G|/40. We compute the number of such surfacesSas the number of normal subgroups of the triangle group Δ(2,4,5) with quotient‐groupG, and investigate the associated regular maps of type {4, 5}.

 

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