Character tables of Sylow p-subgroups of the Steinberg triality groups 3D4(q3)

被引：3

作者：

Sun, Yujiao ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 11期

关键词：

Character table; Steinberg triality group; Sylow p-subgroup; FINITE CHEVALLEY-GROUPS; CALCULATING CONJUGACY CLASSES;

D O I：

10.1080/00927872.2018.1461881

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the character tables of Sylow p-subgroups U of the Steinberg triality groups D-3(4) (q(3)), where q is a power of an odd prime p.

引用

页码：5032 / 5052

页数：21

共 19 条

[1]

[Anonymous], 2016, THESIS U HONG KONG P

[2]

[Anonymous], 1972, SIMPLE GROUPS LIE TY

[3]

Curtis Ch., 1981, METHODS OF REPRESENTATION THEORY, VI

[4] The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D4 [J].

Goodwin, Simon M. ;

Le, Tung ;

Magaard, Kay .

COMMUNICATIONS IN ALGEBRA, 2017, 45 (12) :5158-5179

[5] Constructing characters of Sylow p-subgroups of finite Chevalley groups [J].

Goodwin, Simon M. ;

Le, Tung ;

Magaard, Kay ;

Paolini, Alessandro .

JOURNAL OF ALGEBRA, 2016, 468 :395-439

[6] ON THE COADJOINT ORBITS OF MAXIMAL UNIPOTENT SUBGROUPS OF REDUCTIVE GROUPS [J].

Goodwin, Simon M. ;

Mosch, Peter ;

Roehrle, Gerhard .

TRANSFORMATION GROUPS, 2016, 21 (02) :399-426

[7] Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups of rank six and seven [J].

Goodwin, Simon M. ;

Mosch, Peter ;

Roehrle, Gerhard .

LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2014, 17 (01) :109-122

[8] Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups [J].

Goodwin, Simon M. ;

Roehrle, Gerhard .

JOURNAL OF ALGEBRA, 2009, 321 (11) :3321-3334

[9]

Higman G., 1960, Proc. Lond. Math. Soc., V10, P24

[10] On the characters of the Sylow p-subgroups of untwisted Chevalley groups Yn(pa) [J].

Himstedt, Frank ;

Le, Tung ;

Magaard, Kay .

LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2016, 19 (02) :303-359

← 1 2 →