Finite Groups with Some Bounded Codegrees

被引：0
|
作者：
Dong Fang YANG [1 ]
Yu ZENG [2 ]
Heng LV [1 ]
机构：
[1] School of Mathematics and Statistics, Southwest University
[2] Department of Mathematics, Changshu Institute of
来源：
ActaMathematicaSinica,EnglishSeries | 2024年 / 07期
关键词：
D O I：
暂无
中图分类号：
O152.1 [有限群论];
学科分类号：
摘要：
For a character χ of a finite group G, the number cod（χ） := |G : ker（χ）|/χ（1） is called the codegree of χ. In this paper, we give a solvability criterion for a finite group G depending on the minimum of the ratio χ（1）2/cod（χ）, when χ varies among the irreducible characters of G.
引用
收藏
页码：1778 / 1784
页数：7
相关论文
共 50 条
  • [21] On the characterization of some non-abelian simple groups with few codegrees
    Gintz, Michael
    Kortje, Matthew
    Laurence, Megan
    Liu, Yang
    Wang, Zili
    Yang, Yong
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (09) : 3932 - 3939
  • [22] ON THE CHARACTERISATION OF ALTERNATING GROUPS BY CODEGREES
    Dolorfino, Mallory
    Martin, Luke
    Slonim, Zachary
    Sun, Yuxuan
    Yang, Yong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 110 (01) : 115 - 120
  • [23] Finite groups in which distinct nonlinear irreducible characters have distinct codegrees
    Qian, Guohua
    Zeng, Yu
    MATHEMATISCHE NACHRICHTEN, 2024, 297 (02) : 482 - 493
  • [24] Continuity conditions for finite-dimensional representations of some locally bounded groups
    Shtern, A. I.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2006, 13 (04) : 438 - 457
  • [25] Continuity conditions for finite-dimensional representations of some locally bounded groups
    A. I. Shtern
    Russian Journal of Mathematical Physics, 2006, 13 : 438 - 457
  • [26] Nonsolvable groups with five character codegrees
    Liu, Yang
    Yang, Yong
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (03) : 1274 - 1279
  • [27] Finite linear groups and bounded generation
    Liebeck, MW
    Pyber, L
    DUKE MATHEMATICAL JOURNAL, 2001, 107 (01) : 159 - 171
  • [28] ON THE CHARACTERISATION OF SPORADIC SIMPLE GROUPS BY CODEGREES
    Dolorfino, Mallory
    Martin, Luke
    Slonim, Zachary
    Sun, Yuxuan
    Yang, Yong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 109 (01) : 57 - 66
  • [29] Strongly bounded groups and infinite powers of finite groups
    de Cornulier, Yves
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) : 2337 - 2345
  • [30] Nonsolvable groups with four character codegrees
    Liu, Yang
    Yang, Yong
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (11)
12345