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BUCHSTEINER LOOPS
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Buchsteiner loops are those which satisfy the identity x \ (xy · z) = (y · 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.
World Scientific Pub Co Pte Lt
Title: BUCHSTEINER LOOPS
Description:
Buchsteiner loops are those which satisfy the identity x \ (xy · z) = (y · 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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