The Burnside problem for odd exponents
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917624428888064 |
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| author | Atkarskaya, Agatha Rips, Eliyahu Tent, Katrin |
| author_facet | Atkarskaya, Agatha Rips, Eliyahu Tent, Katrin |
| contents | We show that the free Burnside groups $B(m,n)$ are infinite for $m\geq 2$ and odd $n\geq 557$, the best currently known lower bound for the exponent. The proof uses iterated small cancellation theory where the induction is based on the nesting depth of relators. The main instrument at every step is a new concept of a certification sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15997 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Burnside problem for odd exponents Atkarskaya, Agatha Rips, Eliyahu Tent, Katrin Group Theory 20F05, 20F06, 20F65 We show that the free Burnside groups $B(m,n)$ are infinite for $m\geq 2$ and odd $n\geq 557$, the best currently known lower bound for the exponent. The proof uses iterated small cancellation theory where the induction is based on the nesting depth of relators. The main instrument at every step is a new concept of a certification sequence. |
| title | The Burnside problem for odd exponents |
| topic | Group Theory 20F05, 20F06, 20F65 |
| url | https://arxiv.org/abs/2303.15997 |