Characterization of some almost simple groups with socle PSp4(q) by their character degrees

被引：0

作者：

Moghadam, Safoura Madady ^{[1
]}

Iranmanesh, Ali ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tahran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 08期

关键词：

Character degrees; almost simple groups; projective symplectic groups; projective conformal symplectic groups; Huppert's conjecture; DEGREE GRAPHS; SET;

D O I：

10.1142/S0219498823501670

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and cd(G) denote the set of irreducible complex character degrees of G. Suppose that. H is a projective conformal symplectic group PCSp4(q) for some prime power q. The main result of this paper is to prove that if cd(G) = cd(H), then G/Z(G) is isomorphic to H. This confirms a recent generalization of Huppert's conjecture for the almost. simple groups of Lie type.

引用

页数：17

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