Buchsteiner loops

Details Buchsteiner loops Buchsteiner loops

2007-08-17

arxiv.org/abs/0708.2358v1

Internat. J. Algebra Comput. 19 (2009), no. 8, 1049-1088

Mathematics

Group Theory

33 pages

Scientific paper

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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