The Divisibility Graph of finite groups of Lie type

被引:2
|
作者
Abdolghafourian, Adeleh [1 ]
Iranmanesh, Mohammad A. [1 ]
Niemeyer, Alice C. [2 ]
机构
[1] Yazd Univ, Dept Math, Yazd 89195741, Iran
[2] Rhein Westfal TH Aachen, Lehrstuhl Math B, Pontdriesch 10-16, D-52062 Aachen, Germany
基金
澳大利亚研究理事会;
关键词
SEMISIMPLE CONJUGACY CLASSES; COMMUTING GRAPH; COMPONENTS; NUMBER; ELEMENTS;
D O I
10.1016/j.jpaa.2016.12.033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Divisibility Graph of a finite group G has vertex set the set of conjugacy class sizes of non-central elements in G and two vertices are connected by an edge if one divides the other. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:2482 / 2493
页数:12
相关论文
共 50 条
  • [1] On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type
    Natalia V. Maslova
    Viktor V. Panshin
    Alexey M. Staroletov
    European Journal of Mathematics, 2023, 9
  • [2] DEFECT GROUPS FOR FINITE GROUPS OF LIE TYPE
    HUMPHREYS, JE
    MATHEMATISCHE ZEITSCHRIFT, 1971, 119 (02) : 149 - +
  • [3] ON CHARACTERIZATION BY GRUENBERG-KEGEL GRAPH OF FINITE SIMPLE EXCEPTIONAL GROUPS OF LIE TYPE
    Maslova, Natalia V.
    Panshin, Viktor V.
    Staroletov, Alexey M.
    arXiv, 2023,
  • [4] On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type
    Maslova, Natalia V.
    Panshin, Viktor V.
    Staroletov, Alexey M.
    EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (03)
  • [5] Extensions for finite groups of Lie type: twisted groups
    Bendel, CP
    Nakano, DK
    Pillen, C
    FINITE GROUPS 2003, 2005, : 29 - 46
  • [6] The Divisibility Graph for F-Groups
    D. Khoshnevis
    Z. Mostaghim
    Mathematical Notes, 2022, 111 : 236 - 242
  • [7] DIVISIBILITY GRAPH FOR SYMMETRIC AND ALTERNATING GROUPS
    Abdolghafourian, Adeleh
    Iranmanesh, Mohammad A.
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (07) : 2852 - 2862
  • [8] The Divisibility Graph for F-Groups
    Khoshnevis, D.
    Mostaghim, Z.
    MATHEMATICAL NOTES, 2022, 111 (1-2) : 236 - 242
  • [9] Finite simple groups of Lie type over a field of the same characteristic with the same prime graph
    Zinoveva, M. R.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2014, 20 (02): : 168 - 183
  • [10] Second cohomology for finite groups of Lie type
    Drupieski, Christopher M.
    JOURNAL OF ALGEBRA, 2012, 360 : 21 - 52