Finite groups with two relative subgroup commutativity degrees

被引：1
|
作者：
Lazorec, Mihai-Silviu [1 ]
Tarnauceanu, Marius [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2019年 / 94卷 / 1-2期
关键词：
subgroup commutativity degree; relative subgroup commutativity degree; subgroup lattice; PROBABILITY; ELEMENTS;
D O I：
10.5486/PMD.2019.8290
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that there is an infinite number of finite groups with two relative subgroup commutativity degrees. Also, we indicate a sufficient condition such that a finite group has at least three relative subgroup commutativity degrees, and we prove that D-6 is the only finite dihedral group with two relative subgroup commutativity degrees. Finally, we study the density of the set containing all relative subgroup commutativity degrees of finite groups.
引用
收藏
页码：157 / 169
页数：13
相关论文
共 50 条
  • [21] Subgroup commutativity degree of profinite groups
    Kazeem, Eniola
    TOPOLOGY AND ITS APPLICATIONS, 2019, 263 : 1 - 15
  • [22] Some considerations on the n-th commutativity degrees of finite groups
    Erfanian, A.
    Tolue, B.
    Sarmin, N. H.
    ARS COMBINATORIA, 2015, 122 : 257 - 267
  • [23] Ensuring commutativity of finite groups
    Neumann, BH
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 2001, 71 : 233 - 234
  • [24] Finite Groups With Few Relative Tensor or Exterior Degrees
    Russo, Francesco G.
    Niroomand, Peyman
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (04) : 3201 - 3219
  • [25] Finite Groups With Few Relative Tensor or Exterior Degrees
    Francesco G. Russo
    Peyman Niroomand
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 3201 - 3219
  • [26] Relative Non-normal Graphs of a Subgroup of Finite Groups
    Ziyaaddini, M.
    Erfanian, A.
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (01): : 181 - 189
  • [27] CONJUGACY CLASS SIZES AND n-TH COMMUTATIVITY DEGREES OF SOME FINITE GROUPS
    Moradipour, Kayvan
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2018, 71 (04): : 453 - 459
  • [28] ON FINITE GROUPS WITH TWO IRREDUCIBLE CHARACTER DEGREES
    Heydari, A.
    Taeri, B.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2008, 34 (02): : 39 - 47
  • [29] Finite groups with two composite character degrees
    Ghaffarzadeh, Mehdi
    Ghasemi, Mohsen
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (12)
  • [30] A GENERALIZATION OF COMMUTATIVITY DEGREE OF FINITE GROUPS
    Das, Ashish Kumar
    Nath, Rajat Kanti
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (06) : 1974 - 1981
12345