On locally finite minimal non-solvable groups

被引：4
|
作者：
Arikan, Ahmet [1 ]
Sezer, Sezgin [2 ]
Smith, Howard [3 ]
机构：
[1] Gazi Univ, Gazi Egitim Fak, Matemat Egitimi Anabilim Dali, Ankara, Turkey
[2] Cankaya Univ, Matemat Bilgisayar, Ankara, Turkey
[3] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期
关键词：
Minimal non-solvable groups; Locally nilpotent groups; Solvabilizer; Centralizer condition; P-GROUPS;
D O I：
10.2478/s11533-010-0005-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
引用
收藏
页码：266 / 273
页数：8
相关论文
共 50 条
  • [1] A classification of the finite non-solvable minimal non-CA-groups
    Jafari, Leyli
    Kohl, Stefan
    Zarrin, Mohammad
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (11)
  • [2] THE LAITINEN CONJECTURE FOR FINITE NON-SOLVABLE GROUPS
    Pawalowski, Krzysztof
    Sumi, Toshio
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2013, 56 (01) : 303 - 336
  • [3] NON-SOLVABLE SIGNALIZER FUNCTORS ON FINITE-GROUPS
    MCBRIDE, PP
    JOURNAL OF ALGEBRA, 1982, 78 (01) : 215 - 238
  • [4] FINITE NON-SOLVABLE GROUPS WITH NILPOTENT MAXIMAL SUBGROUPS
    BAUMANN, B
    JOURNAL OF ALGEBRA, 1976, 38 (01) : 119 - 135
  • [5] NON-SOLVABLE SIGNALIZER FUNCTORS ON FINITE-GROUPS
    GORENSTEIN, D
    LYONS, R
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1977, 35 (JUL) : 1 - 33
  • [6] Characterizations of minimal non-solvable Fitting p-groups
    Arikan, Ahmet
    JOURNAL OF GROUP THEORY, 2008, 11 (01) : 95 - 103
  • [7] Non-solvable graphs of groups
    Department of Mathematical Science, Tezpur University, Napaam-784028, Sonitpur, Assam, India
    不详
    793122, India
    arXiv, 1600,
  • [8] Non-Solvable Graphs of Groups
    Bhowal, Parthajit
    Nongsiang, Deiborlang
    Nath, Rajat Kanti
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (03) : 1255 - 1272
  • [9] On a class of non-solvable groups
    Miao, Long
    Zhang, Jia
    JOURNAL OF ALGEBRA, 2018, 496 : 1 - 10
  • [10] Non-Solvable Graphs of Groups
    Parthajit Bhowal
    Deiborlang Nongsiang
    Rajat Kanti Nath
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 1255 - 1272
12345