# Normal Subgroups in Free Burnside Groups of Odd Period

## Abstract

In the current paper we announce a positive answer for all prime numbers $n > 997$ to the following problem set by Adian in Kourovka Notebook: Is it true that all proper normal subgroups of the group $B(m, n)$ of prime period $n > 665$ are not free periodic groups? The current result also strengthens a similar result of Olshanskiy for sufficiently large odd numbers $n$ ($n > 10^{77}$).

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## Published

2008-10-13

## How to Cite

*Armenian Journal of Mathematics*,

*1*(2), pp. 25-29. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/24