The devil and the angel of loops
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- by Leong Fook PDF
- Proc. Amer. Math. Soc. 54 (1976), 32-34 Request permission
Abstract:
${G_a}$, the subloop generated by all the associators of a loop $G$, is singled out for study for the first time. If $G$ is Moufang, ${G_a}$ is found to be normal in $G$. The relation of ${G_a}$ with the nucleus of $G$ is also investigated.References
- Richard Hubert Bruck, A survey of binary systems, Reihe: Gruppentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0093552
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 32-34
- DOI: https://doi.org/10.1090/S0002-9939-1976-0390114-3
- MathSciNet review: 0390114