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Seminars "Proof Theory" and "Logic Online Seminar"
November 24, 2025 16:00, Moscow, Steklov Mathematical Institute (8 Gubkina), room 313 + online
 


A sample iterated small cancellation theory for groups of Burnside type

I. G. Lysenok

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We develop yet another technique to present the free Burnside group $B(m,n)$ of odd exponent $n$ with $m\ge 2$ 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 $n$.

Language: English
 
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