Groups with three real valued irreducible characters

被引：0

作者：

Alexander Moretó

Gabriel Navarro

机构：

[1] Universitat de València,Departament d’ Àlgebra

来源：

Israel Journal of Mathematics | 2008年 / 163卷

关键词：

Normal Subgroup; Conjugacy Class; Simple Group; Irreducible Character; Minimal Normal Subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain strong restrictions on the structure of a Sylow 2-subgroup of a group with at most three real valued irreducible characters. This extends results of Iwasaki, who studied groups with at most two real valued irreducible characters.

引用

页码：85 / 92

页数：7

共 50 条

[41] Finite groups and degrees of irreducible monomial characters
Pang, Linna
Lu, Jiakuan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (04)
[42] On values of irreducible characters of finite simple groups
Zhdanovskii, IY
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1997, (06): : 72 - 75
[43] Typical irreducible characters of generalized quantum groups
Yamane, Hiroyuki
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (01)
[44] Certain pairs of irreducible characters of the groups SnSn
Belonogov, V. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2007, 13 (02): : 13 - 32
[45] Some results on irreducible characters for algebraic groups
Tongji Daxue Xuebao, 1 (5-8):
[46] SOME IRREDUCIBLE CHARACTERS OF GROUPS WITH BN PAIRS
HOWLETT, RB
JOURNAL OF ALGEBRA, 1976, 39 (02) : 571 - 592
[47] IRREDUCIBLE CHARACTERS OF P-SOLVABLE GROUPS
OKUYAMA, T
WAJIMA, M
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1979, 55 (08) : 309 - 312
[48] COMPUTATION OF REAL-VALUED BASIS FUNCTIONS WHICH TRANSFORM AS IRREDUCIBLE REPRESENTATIONS OF THE POLYHEDRAL GROUPS
Xu, N. A. N.
Doerschuk, Peter
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 43 (06): : A3657 - A3676
[49] FINITE GROUPS WITH A FAITHFUL REAL-VALUED IRREDUCIBLE CHARACTER WHOSE SQUARE HAS EXACTLY TWO DISTINCT IRREDUCIBLE CONSTITUENTS
Zhmud, Emmanuel
GLASNIK MATEMATICKI, 2010, 45 (01) : 85 - 92
[50] Orthogonality of cosets relative to irreducible characters of finite groups
Holmes, RR
LINEAR & MULTILINEAR ALGEBRA, 2004, 52 (02): : 133 - 143

← 1 2 3 4 5 →