Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\) (Q1355611)
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scientific article; zbMATH DE number 1014007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\) |
scientific article; zbMATH DE number 1014007 |
Statements
Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\) (English)
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11 June 1997
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Let \(L\) be a Moufang loop of odd order \(p^\alpha q_1^{\alpha_1}\dots q_n^{\alpha_n}\) where \(p\) and the \(q_i\) are primes with \(3\leq p<q_1<\cdots<q_n\) and \(\alpha_i\leq 2\). The authors prove that \(L\) is a group if (i) \(\alpha\leq 3\), or (ii) \(\alpha\leq 4\) and \(p\geq 5\).
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Moufang loops of odd order
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groups
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