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
[41]   The real part of the character table of a finite group [J].
Wilde, Tom .
COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) :4042-4056
[42]   On heights of characters of finite groups [J].
Feng, Zhicheng ;
Liu, Yanjun ;
Zhang, Jiping .
JOURNAL OF ALGEBRA, 2020, 556 :106-135
[43]   On the Fixing Sets of Finite Groups [J].
Aymen, Ummul ;
Della-Giustina, James ;
Lauderdale, L. -K ;
Riley Jr, Jason ;
Stales, Erin ;
Zimmerman, Jay .
GRAPHS AND COMBINATORICS, 2025, 41 (01)
[44]   Unitary Space-Time Group Codes: Diversity Sums From Character Tables [J].
Niyomsataya, Terasan ;
Miri, Ali ;
Nevins, Monica .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (11) :5203-5210
[45]   WEAK CAYLEY TABLE GROUPS II: ALTERNATING GROUPS AND FINITE COXETER GROUPS [J].
Humphries, Stephen P. ;
Nguyen, Long .
COMMUNICATIONS IN ALGEBRA, 2015, 43 (11) :4763-4782
[46]   Minimality of an active fragment of a character table of a finite group [J].
Belonogov, VA .
SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (05) :828-832
[47]   Minimality of an Active Fragment of a Character Table of a Finite Group [J].
V. A. Belonogov .
Siberian Mathematical Journal, 2001, 42 :828-832
[48]   On the representation theory of wreath products of finite groups and symmetric groups [J].
Pushkarev I.A. .
Journal of Mathematical Sciences, 1999, 96 (5) :3590-3599
[49]   Research in Representation Theory of Finite Groups [J].
Darafsheh, Mohammad Reza .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (04)
[50]   On finite simple groups and Kneser graphs [J].
Lucchini, Andrea ;
Maroti, Attila .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2009, 30 (04) :549-566
12345