Author:
Xu Haijing,Yan Yanxiong,Chen Guiyun
Abstract
Abstract
The main aim of this article is to characterize the finite simple groups by less character quantity. In fact, we show that each Mathieu-group G can be determined by their largest and second largest irreducible character degrees.
MSC:20C15.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference6 articles.
1. Huppert B: Some simple groups which are determined by the set of their character degrees, I. Ill. J. Math. 2000, 44(4):828–842.
2. Huppert B: Some simple groups which are determined by the set of their character degrees, II. Rend. Semin. Mat. Univ. Padova 2006, 115: 1–13.
3. Wakefield TP:Verifying Huppert’s conjecture for "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" and "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" . Commun. Algebra 2009, 37: 2887–2906. 10.1080/00927870802625661
4. Tong-Viet HP, Wakefield TP:On Huppert’s conjecture for "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" , "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" . J. Pure Appl. Algebra 2012, 216: 2720–2729. 10.1016/j.jpaa.2012.03.028
5. Isaacs IM: Character Theory of Finite Groups. Academic Press, New York; 1976.
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