A sample iterated small cancellation theory for groups of Burnside type

preprint2023arXivOpen access

Abstract

We develop yet another technique to present the free Burnside group B(m,n)B(m,n) of odd exponent nn with m≥2m\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)B(m,n) is infinite with a moderate bound n>2000n > 2000 on the odd exponent nn.

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