Moufang Loop - Open Problems

Open Problems

Phillips' problem is an open problem in the theory presented by J. D. Phillips at Loops '03 in Prague. It asks whether there exists a finite Moufang loop of odd order with a trivial nucleus.

Recall that the nucleus of a loop (or more generally a quasigroup) is the set of x such that, and hold for all in the loop.

See also: Problems in loop theory and quasigroup theory

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