Huppert's Analogue Conjecture for PSL(3, q) and PSU(3, q)

被引：0

作者：

Liu, Yang ^{[1
]}

Yang, Yong ^{[2
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] Texas State Univ, Dept Math, 601 Univ Dr, San Marcos, TX 78666 USA

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 01期

关键词：

Codegree; character degree; simple groups;

D O I：

10.1007/s00025-022-01778-2

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 chi is an element of Irr(G). The codegree of chi is defined as cod(chi) = vertical bar G:ker(chi)vertical bar and cod(G) = {cod(chi) vertical bar chi is an element of Irr(G)} is called the set of codegrees of G. In this paper, we show that the set of codegrees of PSL(3, q) and PSU(3, q) determines the group up to isomorphism.

引用

页数：16

共 14 条

[1] VERIFYING HUPPERT'S CONJECTURE FOR PSL3(q) AND PSU3(q2)
Wakefield, Thomas P.
COMMUNICATIONS IN ALGEBRA, 2009, 37 (08) : 2887 - 2906
[2] On Huppert’s Conjecture for 3D4(q), q ≥ 3
Hung P. Tong-Viet
Thomas P. Wakefield
Algebras and Representation Theory, 2013, 16 : 471 - 490
[3] 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
[4] 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)
[5] Verifying Huppert’s Conjecture for PSp4(q) when q > 7
Thomas P. Wakefield
Algebras and Representation Theory, 2012, 15 : 427 - 448
[6] Verifying Huppert's Conjecture for PSp4(q) when q > 7
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2012, 15 (03) : 427 - 448
[7] AN ANALOGUE OF HUPPERT'S CONJECTURE FOR CHARACTER CODEGREES
Bahri, A.
Akhlaghi, Z.
Khosravi, B.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021, 104 (02) : 278 - 286
[8] Verifying Huppert's Conjecture for 2 G 2(q 2)
Wakefield, Thomas P.
ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (04) : 609 - 623
[9] Verifying Huppert’s Conjecture for 2G2(q2)
Thomas P. Wakefield
Algebras and Representation Theory, 2011, 14 : 609 - 623
[10] Equivalent version of Huppert's conjecture for codegrees of K3-groups
Ghasemi, Mohsen
Hekmatara, Somayeh
QUAESTIONES MATHEMATICAE, 2023, 46 (09) : 1863 - 1870

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