Recognition of \(L_2(q)\) by its group order and largest irreducible character degree

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• 作者：Qinhui Jiang (1)
  Changguo Shao (1)
  
  1. School of Mathematical Sciences ; University of Jinan ; 250022聽 ; Shandong ; China
  
• 关键词：Finite groups ; Group order ; Largest irreducible character degree ; Simple groups ; 20C15
• 刊名：Monatshefte für Mathematik
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：176
• 期：3
• 页码：413-422
• 全文大小：183 KB
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  8. Xu, H.J., Chen, G.Y., Yan, Y.X.: A new characterization of simple \({K}_3\) -groups by their orders and large degrees of their irreducible characters. Comm. Alg. (to appear)
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• 刊物主题：Mathematics, general;
• 出版者：Springer Vienna
• ISSN：1436-5081

文摘

We prove that the projective special linear group \(L_2(q)\) is uniquely determined by its group order and its largest irreducible character degree when \(q\) is a prime or when \(q=2^a\) for an integer \(a\ge 2\) such that \(2^a-1\) or \(2^a+1\) is a prime.