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
Read more about this topic: Moufang Loop
Famous quotes containing the words open and/or problems:
“Go forth under the open sky, and list
To Nature’s teachings,”
—William Cullen Bryant (1794–1878)
“If we fail to meet our problems here, no one else in the world will do so. If we fail, the heart goes out of progressives throughout the world.”
—Eleanor Roosevelt (1884–1962)