周期为3的自由Burnside群的定义关系的独立系统

Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2021-11-05 DOI:10.46991/pysu:a/2021.55.3.153

Arman A. Bayramyan

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摘要

我们构造了秩$m= 2,3 $的自由Burnside群$B(m,3)$的独立定义关系系统。用$B(2,3)$的矩阵表示建立了$m=2$的证明。对于$m=3$的情况，该方法是基于$B(2,3)$自然嵌入到$B(3,3)$。

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

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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Proceedings of the YSU A: Physical and Mathematical Sciences

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