Armenian Journal of Mathematics, 9(2)
2017; 60–67
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Normal Automorphisms of Free Burnside Groups of Period 3

Varujan Atabekyan*, H.T. Aslanyan, A. E. Grigoryan

Received: 2024-12-18 · Published: 2017-12-26

© 2017 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Normal Automorphisms of Free Burnside Groups of Period 3
Authors
Varujan Atabekyan, H.T. Aslanyan, A. E. Grigoryan
Source journal
Armenian Journal of Mathematics, 9(2)
Published
2017-12-26
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/157

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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