MINIMAL NON-NILPOTENT GROUPS WHICH ARE SUPERSOLVABLE

被引：0
|
作者：
Russo, Francesco G. [1 ,2 ]
机构：
[1] Univ Molise, Lab Dinam Strutturale & Geotecn Strega, Via Duca Abruzzi, I-86039 Termoli, CB, Italy
[2] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 18卷 / 01期
关键词：
minimal non-nilpotent groups; Schmidt groups; critical groups; groups with many nilpotent subgroups;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The structure of a group, which is not nilpotent but all of whose proper subgroups are nilpotent, has attracted the interest of several authors both in the finite case as well as in the infinite case. The present paper generalizes some classic descriptions of the infinite case.
引用
收藏
页码：79 / 88
页数：10
相关论文
共 50 条
  • [21] Finite groups with non-nilpotent maximal subgroups
    Jiakuan Lu
    Linna Pang
    Xianggui Zhong
    Monatshefte für Mathematik, 2013, 171 : 425 - 431
  • [22] Finite groups with non-nilpotent maximal subgroups
    Lu, Jiakuan
    Pang, Linna
    Zhong, Xianggui
    MONATSHEFTE FUR MATHEMATIK, 2013, 171 (3-4): : 425 - 431
  • [23] Locally soluble-by-finite groups with the weak minimal condition on non-nilpotent subgroups
    Dixon, MR
    Evans, MJ
    Smith, H
    JOURNAL OF ALGEBRA, 2002, 249 (01) : 226 - 246
  • [24] FINITE NON-NILPOTENT GROUPS WITH SOME PRESET SYSTEMS OF NILPOTENT SUBGROUPS
    LEVISHCHENKO, SS
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (01): : 35 - 37
  • [25] Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
    Azad, Azizollah
    Britnell, John R.
    Gill, Nick
    FORUM MATHEMATICUM, 2015, 27 (06) : 3745 - 3782
  • [26] Isotropy of non-nilpotent Riemannian solvable lie groups
    Bajo, I
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1996, 14 (01) : 61 - 67
  • [27] Finite unitary ring with minimal non-nilpotent group of units
    Amiri, Mohsen
    Amini, Mostafa
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (06)
  • [28] FINITE GROUPS WITH GIVEN QUANTITATIVE NON-NILPOTENT SUBGROUPS
    Shi, Jiangtao
    Zhang, Cui
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) : 3346 - 3355
  • [29] NILPOTENT BY SUPERSOLVABLE M-GROUPS
    PARKS, AE
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1985, 37 (05): : 934 - 962
  • [30] A note on finite groups in which every non-nilpotent maximal subgroup has prime index
    Shi, Jiangtao
    Liu, Wenjing
    Tian, Yunfeng
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (09)
12345