The restricted Burnside problem for Moufang loops
We prove that for positive integers $m \geq 1, n \geq 1$ and a prime number $p \neq 2,3$ there are finitely many finite m-generated Moufang loops of exponent $p^n$ .
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2022-07, Vol.173 (1), p.201-211 |
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| container_title | Mathematical proceedings of the Cambridge Philosophical Society |
| container_volume | 173 |
| creator | GRISHKOV, ALEXANDER SABININA, LIUDMILA ZELMANOV, EFIM |
| description | We prove that for positive integers
$m \geq 1, n \geq 1$
and a prime number
$p \neq 2,3$
there are finitely many finite m-generated Moufang loops of exponent
$p^n$
. |
| doi_str_mv | 10.1017/S0305004121000517 |
| format | Article |
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$m \geq 1, n \geq 1$
and a prime number
$p \neq 2,3$
there are finitely many finite m-generated Moufang loops of exponent
$p^n$
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$m \geq 1, n \geq 1$
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$p \neq 2,3$
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$p^n$
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there are finitely many finite m-generated Moufang loops of exponent
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| fulltext | fulltext |
| identifier | ISSN: 0305-0041 |
| ispartof | Mathematical proceedings of the Cambridge Philosophical Society, 2022-07, Vol.173 (1), p.201-211 |
| issn | 0305-0041 1469-8064 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Algebra Mathematics Prime numbers |
| title | The restricted Burnside problem for Moufang loops |
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