ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3

Arman A. Bayramyan

doi:10.46991/PYSU:A/2021.55.3.153

ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3

Authors

Arman A. Bayramyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2021.55.3.153

Keywords:

independent system of defining relations, free Burnside group, periodic group, $p$-group

Abstract

We construct systems of independent defining relations for free Burnside groups $B(m,3)$ of ranks $m=2, 3$. The proof for the case $m=2$ is established using the matrix representation of $B(2,3)$. For the case $m=3$ the approach is based on the natural embedding of $B(2,3)$ into $B(3,3)$.

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Published

2021-11-05

How to Cite

Bayramyan, A. A. (2021). ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3. Proceedings of the YSU A: Physical and Mathematical Sciences, 55(3 (256), 153–159. https://doi.org/10.46991/PYSU:A/2021.55.3.153