Finite groups with Hall π-subgroups

被引：4
|
作者：
Vedernikov, V. A. [1 ]
机构：
[1] Moscow City Pedag Univ, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2012年 / 203卷 / 03期
关键词：
finite group; Hall pi-subgroup; class of groups; formation; CRITERION; CONJUGACY; EXISTENCE;
D O I：
10.1070/SM2012v203n03ABEH004225
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New classes of finite groups with Hall pi-subgroups that have the Sylow properties are constructed and studied. The classes of groups C-pi and D-pi introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall pi-subgroups. D-Theorems generalizing D-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained.
引用
收藏
页码：326 / 350
页数：25
相关论文
共 50 条
  • [21] Finite groups with Hall supplements to primitive subgroups
    V. S. Monakhov
    Siberian Mathematical Journal, 2007, 48 : 288 - 294
  • [22] On hall subnormally embedded subgroups of finite groups
    Adolfo Ballester-Bolinches
    John Cossey
    ShouHong Qiao
    Monatshefte für Mathematik, 2016, 181 : 753 - 760
  • [23] FORMATIONS AND HALL SUBGROUPS OF FINITE SOLUBLE GROUPS
    BLESSENOHL, D
    MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (03) : 299 - 300
  • [24] ON INTERSECTIONS OF π-HALL SUBGROUPS IN FINITE Dπ-GROUPS
    Zenkov, V., I
    SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (04) : 720 - 722
  • [25] ON HALL NORMALLY EMBEDDED SUBGROUPS OF FINITE GROUPS
    Li, Shirong
    He, Jun
    Nong, Guoping
    Zhou, Longqiao
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (09) : 3360 - 3367
  • [26] NILPOTENT AND ABELIAN HALL SUBGROUPS IN FINITE GROUPS
    Beltran, Antonio
    Jose Felipe, Maria
    Malle, Gunter
    Moreto, Alexander
    Navarro, Gabriel
    Sanus, Lucia
    Solomon, Ronald
    Tiep, Pham Huu
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (04) : 2497 - 2513
  • [27] Hall subgroups of odd order in finite groups
    Vdovin E.P.
    Revin D.O.
    Algebra and Logic, 2002, 41 (1) : 8 - 29
  • [28] On hall subnormally embedded subgroups of finite groups
    Ballester-Bolinches, Adolfo
    Cossey, John
    Qiao, ShouHong
    MONATSHEFTE FUR MATHEMATIK, 2016, 181 (04): : 753 - 760
  • [29] Determining Hypercentral Hall Subgroups in Finite Groups
    Sotomayor, V.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (05)
  • [30] Finite groups with Hall normally embedded subgroups
    Guo, Qinghong
    He, Xuanli
    Huang, Muhong
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (09)
12345