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Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, Forthcoming paper (Mi im9475)  

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 $m\ge2$ 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 $n$.
Keywords: periodic group, Burnside problem, small cancellation theory
Funding agency Grant number
Russian Science Foundation 21-11-00318
Received: 10.03.2023
UDC: 512.54
MSC: Primary 20F05; Secondary 20F50, 20F06
Language: Russian
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    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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