A sample iterated small cancellation theory for groups of Burnside type
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 $n$.
Authors
- Igor Lysenok (ORCID: https://orcid.org/0000-0001-6186-5292)
Institutions
- Russian Academy of Sciences (RU)
- Steklov Mathematical Institute (RU)
Publication Details
- Journal
- Izvestiya Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/im9475e
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Russian Science Foundation