ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3
DOI:
https://doi.org/10.46991/PYSU:A/2021.55.3.153Keywords:
independent system of defining relations, free Burnside group, periodic group, $p$-groupAbstract
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
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Mathematics
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