Rational Groups Having Only One Non-Linear Irreducible Character

被引：0
|
作者：
Armeanu, I. [1 ]
Ozturk, D. [2 ]
机构：
[1] Univ Bucharest, Fac Phys, Dept Theiret Phys & Math, POB MG-11, Bucharest 077125, Romania
[2] Mimar Sinan Fine Arts Univ, Dept Math, Istanbul, Turkey
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2011年 / 32卷 / 04期
关键词：
group theory; group characters; Q-groups;
D O I：
10.1134/S1995080211040056
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we shall copletely determine the finite rational groups having only one nonlinear irreducible character.
引用
收藏
页码：337 / 338
页数：2
相关论文
共 50 条
  • [1] Groups whose non-linear irreducible characters are rational valued
    Darafsheh, M. R.
    Iranmanesh, A.
    Moosavi, S. A.
    [J]. ARCHIV DER MATHEMATIK, 2010, 94 (05) : 411 - 418
  • [2] Groups whose non-linear irreducible characters are rational valued
    M. R. Darafsheh
    A. Iranmanesh
    S. A. Moosavi
    [J]. Archiv der Mathematik, 2010, 94 : 411 - 418
  • [3] FINITE p-GROUPS WITH FEW NON-LINEAR IRREDUCIBLE CHARACTER KERNELS
    Doostie, H.
    Saeidi, A.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (02) : 413 - 422
  • [4] Groups with sharp non-linear irreducible characters
    Abdollahi, A.
    Bagherian, J.
    Ebrahimi, M.
    Garmsiri, F. M.
    Khatami, M.
    Sobhani, R.
    [J]. COMMUNICATIONS IN ALGEBRA, 2023, 51 (03) : 1011 - 1019
  • [5] The action of the linear character group on the set of non-linear irreducible characters
    Ren, YC
    Li, XY
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2000, 21 (04) : 511 - 524
  • [6] Non-solvable groups having five irreducible character degrees
    Aziziheris, Kamal
    Shafiei, Farideh
    Shirjian, Farrokh
    [J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (06) : 2538 - 2546
  • [7] FINITE-GROUPS HAVING IRREDUCIBLE COMPLEX CHARACTER WITH ONE CLASS OF ZEROS
    ZHMUD, EM
    [J]. DOKLADY AKADEMII NAUK SSSR, 1979, 247 (04): : 788 - 791
  • [8] GROUPS WITH RELATIVELY FEW NON-LINEAR IRREDUCIBLE CHARACTERS
    ISAACS, IM
    PASSMAN, DS
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1968, 20 (06): : 1451 - &
  • [9] A Note on the Rational Non-linear Characters of Groups
    Norooz-Abadian, M.
    Sharifi, H.
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2020, 23 (05) : 1977 - 1982
  • [10] A Note on the Rational Non-linear Characters of Groups
    M. Norooz-Abadian
    H. Sharifi
    [J]. Algebras and Representation Theory, 2020, 23 : 1977 - 1982
12345