Armenian Journal of MathematicsVolume 1, Number 2
2008; 25–29
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Normal Subgroups in Free BurnsideGroups of Odd Period

Varujan Atabekyan*

Received: 2024-11-29 · Published: 2008-10-13

© 2008 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 Subgroups in Free BurnsideGroups of Odd Period
Author
Varujan Atabekyan
Source journal
Armenian Journal of MathematicsVolume 1, Number 2
Published
2008-10-13
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/24

Abstract

In the current paper we announce a positive answerfor all prime numbersn>997 to the following problem set byAdian in Kourovka Notebook: Is it true that all proper normal sub-groups of the groupB(m,n) of prime periodn>665 are not freeperiodic groups? The current result also strengthens a similar re-sult of Olshanskiy for sufficiently large odd numbers n (n>1077).
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