A sample iterated small cancellation theory for groups of Burnside type
Igor Geront'evich Lysenok
Abstract
Open-access reader
Igor Geront'evich Lysenok
Abstract
Open-access reader
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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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 $n$.
Key concepts: Iterated function, Exponent, Mathematics, Group (periodic table), Type (biology), Combinatorics, Pure mathematics, Upper and lower bounds