Normal Subgroups in Free Burnside Groups of Odd Period

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 str...

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Bibliographic Details
Main Author: Varujan Atabekyan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2008-10-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/24