Аннотация:
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 $n$.
Ключевые слова:
periodic group, Burnside problem, small cancellation theory.
Образец цитирования:
I. G. Lysenok, “A sample iterated small cancellation theory for groups of Burnside type”, Изв. РАН. Сер. матем., 89:4 (2025), 111–218; Izv. Math., 89:4 (2025), 758–861