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arxiv: 1507.05262 · v1 · pith:DMR7PTA5new · submitted 2015-07-19 · 🧮 math.GR

Multiplication formulas in Moufang loops

classification 🧮 math.GR
keywords moufanggroupsloopsabelianextensionsformulasmultiplicationconstruct
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Using groups with triality we obtain some general multiplication formulas in Moufang loops, construct Moufang extensions of abelian groups, and describe the structure of minimal extensions for finite simple Moufang loops over abelian groups.

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