Buchsteiner loops
classification
🧮 math.GR
keywords
buchsteinercdotexponentloopsabelianachievesbackslashconstruct
read the original abstract
Buchsteiner loops are those which satisfy the identity $x\backslash (xy \cdot z) = (y \cdot zx)/ x$. We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent.
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