On F-radicals of finite pi-soluble groups

被引：0
作者：
Guo, Wenbin [1 ,2 ]
Liu, Xi [1 ,2 ]
Li, Baojun [1 ,2 ]
机构：
[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源：
ALGEBRA & DISCRETE MATHEMATICS | 2006年 / 03期
关键词：
Finite group; pi-soluble group; F-radical; Fitting class;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that for every local pi-saturated Fitting class F with char(F) = P, the F-radical of every finite pi-soluble groups G has the property: C-G(G(F)) subset of G(F). From this, some well known results are followed and some new results are obtained.
引用
收藏
页码：49 / 54
页数：6
相关论文
共 50 条
  • [31] Propermutable characterizations of finite soluble PST-Groups and PT-groups
    Yi, X.
    SIBERIAN MATHEMATICAL JOURNAL, 2015, 56 (02) : 304 - 312
  • [32] Propermutable characterizations of finite soluble PST-Groups and PT-groups
    X. Yi
    Siberian Mathematical Journal, 2015, 56 : 304 - 312
  • [33] Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups
    Tatiana Bandman
    Mikhail Borovoi
    Fritz Grunewald
    Boris Kunyavskii
    Eugene Plotkin
    manuscripta mathematica, 2006, 119 : 465 - 481
  • [34] Finite Groups with F-Subnormal Subgroups
    Konovalova, M. N.
    MATHEMATICAL NOTES, 2020, 108 (1-2) : 201 - 208
  • [35] Some Results on the Fφ-Hypercenter of Finite Groups
    Tang, J. P.
    Zhang, J.
    Miao, L.
    MATHEMATICAL NOTES, 2019, 105 (5-6) : 888 - 893
  • [36] On F-Reachable Subgroups of Finite Groups
    Sel'kin, M. V.
    Borodich, R. V.
    MATHEMATICAL NOTES, 2011, 90 (5-6) : 715 - 722
  • [37] On complements of F-residuals of finite groups
    Ballester-Bolinches, A.
    Kamornikov, S. F.
    Perez-Calabuig, V.
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (02) : 878 - 882
  • [38] On Some Constructions and Results of the Theory of Partially Soluble Finite Groups
    Guo, Wenbin
    Safonov, Vasilii G.
    Skiba, Alexander N.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES, 2012, : 289 - 307
  • [39] Some special classes of finite soluble PST-groups
    Ballester-Bolinches A.
    Beidleman J.C.
    Ricerche di Matematica, 2015, 64 (2) : 325 - 330
  • [40] A new characterization of finite σ-soluble PσT-groups
    Adarchenko, N. M.
    ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (01): : 33 - 41
12345