ON NONINNER AUTOMORPHISMS OF SOME FINITE P-GROUPS

被引：0
|
作者：
Singh, Sandeep [1 ]
Garg, Rohit [2 ,3 ]
Kalra, Hemant [4 ]
机构：
[1] Akal Univ, Dept Math, Talwandi Sabo 151302, Punjab, India
[2] Govt Ripudaman Coll, Dept Math, Nabha 147201, Punjab, India
[3] HBNI, Natl Inst Sci Educ & Res, Sch Math Sci, PO Jatni, Khurja 752050, Odisha, India
[4] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年
关键词：
finite p-group; noninner automorphism; ORDER-P;
D O I：
10.1017/S0004972724000637
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We settle the noninner automorphism conjecture for finite p-groups ( p> 2$ ) with certain conditions. Also, we give an elementary and short proof of the main result of Ghoraishi ['On noninner automorphisms of finite nonabelian p-groups', Bull. Aust. Math. Soc. 89(2) (2014) 202-209].
引用
收藏
页数：6
相关论文
共 50 条
  • [21] GROUPS OF AUTOMORPHISMS OF FINITE P-GROUPS
    BOROVIK, AV
    KHUKHRO, EI
    MATHEMATICAL NOTES, 1976, 19 (3-4) : 245 - 255
  • [22] On automorphisms of finite p-groups
    Yadav, Manoj K.
    JOURNAL OF GROUP THEORY, 2007, 10 (06) : 859 - 866
  • [23] Automorphisms of finite p-groups
    Kalra, Hemant
    Gumber, Deepak
    ARCHIV DER MATHEMATIK, 2025, 124 (04) : 357 - 363
  • [24] A note on commuting automorphisms of some finite p-groups
    S. Singh
    D. Gumber
    Mathematical Notes, 2016, 100 : 755 - 757
  • [25] A note on commuting automorphisms of some finite p-groups
    Singh, S.
    Gumber, D.
    MATHEMATICAL NOTES, 2016, 100 (5-6) : 755 - 757
  • [26] On automorphisms of some p-groups
    Kumar, M
    Vermani, LR
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2002, 78 (04) : 46 - 50
  • [27] Groups of p-automorphisms for finite p-groups
    Krempa, J
    Malinowska, I
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 61 (3-4): : 495 - 509
  • [28] Class-preserving automorphisms of some finite p-groups
    Gumber, Deepak
    Sharma, Mahak
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (02): : 181 - 186
  • [29] On Commuting Automorphisms of Finite p-Groups
    Singh, M.
    Garg, R.
    MATHEMATICAL NOTES, 2021, 110 (1-2) : 305 - 308
  • [30] A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS
    Fernandez-Alcober, Gustavo A.
    Thillaisundaram, Anitha
    GLASNIK MATEMATICKI, 2016, 51 (01) : 117 - 123
12345