On character tables and abstract structure of finite groups

被引:0
作者
Belonogov, V. A. [1 ]
机构
[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Dept Algebra & Topol, Ekaterinburg 620219, Russia
来源
CHARACTER THEORY OF FINITE GROUPS | 2010年 / 524卷
关键词
Finite group theory; character table; general orthogonality relations; D-blocks; symmetric group; IRREDUCIBLE CHARACTERS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is a short survey of some results of the author about properties of the character table of a finite group and the dependence between these properties and the abstract structure of the group. Concepts of interaction, D-block (that generalizes the classic concept of p-block), and active fragment of the character table are discussed. Some properties of character tables of the symmetric and alternating groups are considered.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 50 条
[21]   Sylow normalizers and character tables, II [J].
Gabriel Navarro .
Israel Journal of Mathematics, 2002, 132 :277-283
[22]   Sylow normalizers and character tables, II [J].
Navarro, G .
ISRAEL JOURNAL OF MATHEMATICS, 2002, 132 (1) :277-283
[23]   On semiproportional columns in the character tables of the groups Sp(4)(q) and Sp(4) (q) for odd q [J].
Belonogov, V. A. .
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2015, 21 (03) :46-53
[24]   Asymptotics of characters of symmetric groups: Structure of Kerov character polynomials [J].
Dolega, Maciej ;
Sniady, Piotr .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2012, 119 (06) :1174-1193
[25]   On G-character tables for normal subgroups [J].
Felipe, M. J. ;
Perez-Ramos, M. D. ;
Sotomayor, V .
QUAESTIONES MATHEMATICAE, 2023, 46 (04) :721-743
[26]   P-characters and the structure of finite solvable groups [J].
Lu, Jiakuan ;
Wu, Kaisun ;
Meng, Wei .
JOURNAL OF GROUP THEORY, 2021, 24 (02) :285-291
[27]   Character Tables of Association Schemes Based on Attenuated Spaces [J].
Hirotake Kurihara .
Annals of Combinatorics, 2013, 17 :525-541
[28]   Character tables of m-flat association schemes [J].
Kurihara, Hirotake .
ADVANCES IN GEOMETRY, 2011, 11 (02) :293-301
[29]   Character Tables of Association Schemes Based on Attenuated Spaces [J].
Kurihara, Hirotake .
ANNALS OF COMBINATORICS, 2013, 17 (03) :525-541
[30]   Character tables of Sylow p-subgroups of the Steinberg triality groups 3D4(q3) [J].
Sun, Yujiao .
COMMUNICATIONS IN ALGEBRA, 2018, 46 (11) :5032-5052