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    Author(s)

    Varujan Atabekyan, PhD. H.T. Aslanyan — Academia (Universities, Colleges and other higher learning entities) (Russian-Armenian University, 123 Hovsep Emin str. 0051 Yerevan, Armenia), PhD. A. E. Grigoryan — Academia (Universities, Colleges and other higher learning entities) (Russian-Armenian University, 123 Hovsep Emin str. 0051 Yerevan, Armenia)
    Category: Mathematics
    DOI: https://armjmath.sci.am/index.php/ajm/article/view/157
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      Normal Automorphisms of Free Burnside Groups of Period 3

      Varujan Atabekyan, PhD. H.T. Aslanyan — Academia (Universities, Colleges and other higher learning entities) (Russian-Armenian University, 123 Hovsep Emin str. 0051 Yerevan, Armenia), PhD. A. E. Grigoryan — Academia (Universities, Colleges and other higher learning entities) (Russian-Armenian University, 123 Hovsep Emin str. 0051 Yerevan, Armenia)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-17; Published: 2017-12-26
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      If any normal subgroup of a group GG is ϕϕ-invariant for some automorphism ϕϕ of GG, then ϕϕ is called a normal automorphism. Each inner automorphism of a group is normal, but converse is not true in the general case. We prove that any normal automorphism of free Burnside group B(m,3)B(m,3) of period 3 is inner for all rank m≥3m≥3.

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