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arXiv · 2301.05000

A sample iterated small cancellation theory for groups of Burnside type

Igor Lysenok
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Abstract

We develop yet another technique to present the free Burnside group $B(m,n)$ of odd exponent $n$ with $m\ge2$ generators as a group satisfying a certain iterated small cancellation condition. Using the approach, we provide a reasonably accessible proof that $B(m,n)$ is infinite with a moderate bound $n > 2000$ on the odd exponent $n$.

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Igor Lysenok. 2023-01-12. A sample iterated small cancellation theory for groups of Burnside type. https://arxiv.org/abs/2301.05000

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