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
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] A note on non-inner automorphisms in finite normally constrained p-groups
    Gavioli, Norberto
    Legarreta, Leire
    Ruscitti, Marco
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2019, 94 (1-2): : 187 - 195
  • [22] FINITE p-GROUPS WITH A FROBENIUS GROUP OF AUTOMORPHISMS WHOSE KERNEL IS A CYCLIC p-GROUP
    Khukhro, E. I.
    Makarenko, N. Yu.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (05) : 1837 - 1848
  • [23] On semicomplete finite p-groups
    Soleimani, Rasoul
    RICERCHE DI MATEMATICA, 2023, 72 (01) : 417 - 422
  • [24] ON THE NILPOTENCY CLASS OF THE AUTOMORPHISM GROUP OF SOME FINITE p-GROUPS
    Fouladi, S.
    Orfi, R.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (03): : 281 - 289
  • [25] Augmentation quotients for Burnside rings of some finite p-groups
    Chang, Shan
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (01):
  • [26] On commuting automorphisms of finite p-groups of co-class 3, when p > 2
    Garg, Rohit
    Singh, Mandeep
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2024, 100 (05) : 27 - 29
  • [27] Some finite p-groups with central automorphism group of minimal order
    Shabani-Attar, Mehdi
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (09)
  • [28] ISOLATED SUBGROUPS OF FINITE p-GROUPS
    Song, Qiangwei
    An, Lijian
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2022, 105 (03) : 449 - 457
  • [29] On the autocentralizer subgroups of finite p-groups
    Seifizadeh, Parisa
    Gholamian, Ali
    Farokhniaee, Amir Ali
    Nasrabadi, Mohammad Mehdi
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (05) : 1802 - 1812
  • [30] On Finite Quasi-Core-p p-Groups
    Wang, Jiao
    Guo, Xiuyun
    SYMMETRY-BASEL, 2019, 11 (09):