TY - JOUR AU - Bayramyan, Arman A. PY - 2021/11/05 Y2 - 2024/03/28 TI - ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3 JF - Proceedings of the YSU A: Physical and Mathematical Sciences JA - Proc. YSU A: Phys. Math. Sci. VL - 55 IS - 3 (256) SE - Mathematics DO - 10.46991/PYSU:A/2021.55.3.153 UR - https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol55_no3_2021_pp153-159 SP - 153-159 AB - <p>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 $B(3,3)$.</p> ER -