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:
“What is reality?
I am a plaster doll; I pose
with eyes that cut open without landfall or nightfall
upon some shellacked and grinning person,
eyes that open, blue, steel, and close.
Am I approximately an I. Magnin transplant?”
—Anne Sexton (19281974)
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannota sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social lifeof inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)