Moufang loops that are almost groups. (Q2882903)
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scientific article; zbMATH DE number 6032977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moufang loops that are almost groups. |
scientific article; zbMATH DE number 6032977 |
Statements
11 May 2012
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finite loops
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Moufang loops
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groups
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Lagrange property
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Lagrange theorem
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0.9040141
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0.89810497
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0.89371306
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0.8859085
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Moufang loops that are almost groups. (English)
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Moufang loops are closer to groups than general loops and they share many common properties. In the paper of \textit{A. N. Grishkov} and \textit{A. V. Zavarnitsine} [Math. Proc. Camb. Philos. Soc. 139, No. 1, 41-57 (2005; Zbl 1091.20039)] the authors showed that Moufang loops satisfy Lagrange's theorem. However, Moufang loops are not groups in general. In this paper the authors study the properties of a class of Moufang loops which are not groups, but all their proper subloops and proper quotient loops are groups.
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