On finite p-nilpotent groups

被引：0
|
作者：
Adolfo Ballester-Bolinches
Xiuyun Guo
Yangming Li
Ning Su
机构：
[1] Guangdong University of Education,Department of Mathematics
[2] Universitat de València,Departament d’Àlgebra
[3] Shanghai University,Department of Mathematics
[4] Sun Yat-sen University,Department of Mathematics
来源：
Monatshefte für Mathematik | 2016年 / 181卷
关键词：
Finite groups; -nilpotency; Minimal subgroups; Sylow normalisers; 20D10; 20D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the structure of a minimal counterexample among the non-p-nilpotent groups having p-nilpotent p-Sylow normalisers is analysed. Several p-nilpotency criteria and many earlier results follow from our main theorem.
引用
收藏
页码：63 / 70
页数：7
相关论文
共 50 条
  • [41] A FAMILY OF FINITE NILPOTENT GROUPS
    MIYAKE, K
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1984, 60 (07) : 269 - 272
  • [42] PRODUCTS OF FINITE NILPOTENT GROUPS
    PENNINGTON, EA
    MATHEMATISCHE ZEITSCHRIFT, 1973, 134 (01) : 81 - 83
  • [43] Nilpotent injectors in finite groups
    Anni Neumann
    Archiv der Mathematik, 1998, 71 : 337 - 340
  • [44] ON FINITE PRODUCTS OF NILPOTENT GROUPS
    AMBERG, B
    HOFLING, B
    ARCHIV DER MATHEMATIK, 1994, 63 (01) : 1 - 8
  • [45] Nilpotent -local finite groups
    Cantarero, Jose
    Scherer, Jerome
    Viruel, Antonio
    ARKIV FOR MATEMATIK, 2014, 52 (02): : 203 - 225
  • [46] A Note on Finite Nilpotent Groups
    Werner, Nicholas J.
    AMERICAN MATHEMATICAL MONTHLY, 2024, 131 (09): : 803 - 805
  • [47] A CHARACTERIZATION OF FINITE NILPOTENT GROUPS
    HOLMES, CV
    AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (10): : 1113 - &
  • [48] On the σ-nilpotent hypercenter of finite groups
    Murashka, Viachaslau, I
    Vasil'ev, Alexander F.
    JOURNAL OF GROUP THEORY, 2022, 25 (06) : 1083 - 1098
  • [49] Products of finite nilpotent groups
    Cossey, J
    Stonehewer, SE
    COMMUNICATIONS IN ALGEBRA, 1999, 27 (01) : 289 - 300
  • [50] PRODUCTS OF FINITE NILPOTENT GROUPS
    HEINEKEN, H
    MATHEMATISCHE ANNALEN, 1990, 287 (04) : 643 - 652
12345