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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

Normal Subgroups in Free BurnsideGroups of Odd Period

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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