Geodesic
On independent systems of defining relations for free Burnside groups of period 3
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 3, pp. 153-159

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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 $B(3,3)$.
Keywords: independent system of defining relations, free Burnside group, periodic group
Mots-clés : $p$-group. 
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     title = {On independent systems of defining relations for free {Burnside} groups of period 3},
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A. A. Bayramyan. On independent systems of defining relations for free Burnside groups of period 3. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 3, pp. 153-159. http://geodesic.mathdoc.fr/item/UZERU_2021_55_3_a0/