Armenian Journal of MathematicsVolume 1, Number 2
2008; 25–29
Shared with The Gufo

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.
Shared article.

Originally published in Armenian Journal of MathematicsVolume 1, Number 2, 2008.

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).
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates