2-Engel relations between subgroups

被引：3
|
作者：
Gallego, M. P. [1 ]
Hauck, P. [2 ]
Perez-Ramos, M. D. [3 ]
机构：
[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
[2] Univ Tubingen, Fachbereich Informat, D-72076 Tubingen, Germany
[3] Univ Valencia, Dept Algebra, E-46100 Burjassot, Valencia, Spain
来源：
JOURNAL OF ALGEBRA | 2016年 / 447卷
关键词：
2-Engel condition; 2-generated subgroups; L-connection; Nilpotency class; N-CONNECTED GROUPS; FINITE-GROUPS; SOLUBLE PRODUCTS;
D O I：
10.1016/j.jalgebra.2015.08.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study groups G generated by two subgroups A and B such that < a, b > is nilpotent of class at most 2 for all a is an element of A and b is an element of B. A detailed description of the structure of such groups is obtained, generalizing the classical result of Hopkins and Levi on 2-Engel groups. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：31 / 55
页数：25
相关论文
共 50 条
  • [21] Non-solvable groups generated by involutions in which every involution is left 2-Engel
    Abdollahi, Alireza
    JOURNAL OF GROUP THEORY, 2015, 18 (01) : 111 - 114
  • [22] On The Relations Between Subgroups And Ideals
    Ones, Ortac
    Alkan, Mustafa
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
  • [23] On right n-Engel subgroups
    Crosby, Peter G.
    Traustason, Gunnar
    JOURNAL OF ALGEBRA, 2010, 324 (04) : 875 - 883
  • [24] Bounded Engel groups withall subgroups subnormal
    Smith, H
    COMMUNICATIONS IN ALGEBRA, 2002, 30 (02) : 907 - 909
  • [25] On the structure of right 3-Engel subgroups
    Crosby, Peter G.
    JOURNAL OF ALGEBRA, 2012, 355 (01) : 205 - 220
  • [26] Engel subnormal subgroups of skew linear groups
    Bien, M. H.
    Ramezan-Nassab, M.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 558 : 74 - 78
  • [27] ON COHOMOLOGIES AND REPRESENTATIONS OF GROUPS WITH NORMAL ENGEL SUBGROUPS
    Kissin, E.
    Shulman, V
    EURASIAN MATHEMATICAL JOURNAL, 2022, 13 (02): : 70 - 81
  • [28] ABELIAN SUBGROUPS AND ENGEL ELEMENTS OF SOLUBLE GROUPS
    BROOKES, CJB
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1985, 32 : 467 - 476
  • [29] On right n-Engel subgroups II
    Crosby, Peter G.
    Traustason, Gunnar
    JOURNAL OF ALGEBRA, 2011, 328 (01) : 504 - 510
  • [30] THE CONNECTION BETWEEN SOME EQUIVALENCE RELATIONS ON FUZZY SUBGROUPS
    Iranmanesh, A.
    Naraghi, H.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2011, 8 (05): : 69 - 80
12345