On Huppert’s Conjecture for 3D4(q), q ≥ 3

被引：0

作者：

Hung P. Tong-Viet

Thomas P. Wakefield

机构：

[1] North-West University (Mafikeng),School of Mathematical Sciences

[2] Youngstown State University,Department of Mathematics and Statistics

来源：

Algebras and Representation Theory | 2013年 / 16卷

关键词：

Character degrees; Simple groups; Huppert’s conjecture; 20C15; 20D05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group and cd(G) be the set of all complex irreducible character degrees of G. Bertram Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for the family of simple exceptional groups of Lie type 3D4(q), when q ≥ 3.

引用

页码：471 / 490

页数：19

共 9 条

[1] On Huppert's Conjecture for 3 D 4(q), q aparts per thousandyen 3
Tong-Viet, Hung P.
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (02) : 471 - 490
[2] Huppert's Analogue Conjecture for PSL(3, q) and PSU(3, q)
Liu, Yang
Yang, Yong
RESULTS IN MATHEMATICS, 2023, 78 (01)
[3] VERIFYING HUPPERT'S CONJECTURE FOR PSL3(q) AND PSU3(q2)
Wakefield, Thomas P.
COMMUNICATIONS IN ALGEBRA, 2009, 37 (08) : 2887 - 2906
[4] Verifying Huppert’s Conjecture for PSp4(q) when q > 7
Thomas P. Wakefield
Algebras and Representation Theory, 2012, 15 : 427 - 448
[5] Verifying Huppert's Conjecture for PSp4(q) when q > 7
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2012, 15 (03) : 427 - 448
[6] Verifying Huppert's Conjecture for 2 G 2(q 2)
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (04) : 609 - 623
[7] Verifying Huppert’s Conjecture for 2G2(q2)
Thomas P. Wakefield
Algebras and Representation Theory, 2011, 14 : 609 - 623
[8] ON HUPPERT'S CONJECTURE FOR F-4(2)
Tong-Viet, Hung P.
Wakefield, Thomas P.
INTERNATIONAL JOURNAL OF GROUP THEORY, 2012, 1 (03) : 1 - 9
[9] Huppert’s Analogue Conjecture for PSL(3,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\text{ PSL }}(3,q)$$\end{document} and PSU(3,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\text{ PSU }}(3,q)$$\end{document}
Yang Liu
Yong Yang
Results in Mathematics, 2023, 78 (1)

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