Open Questions
Several deep questions about the orders of groups and their elements are contained in the various Burnside problems; some of these questions are still open.
Read more about this topic: Order (group Theory)
Famous quotes containing the words open and/or questions:
“I perceive I have not really understood any thing, not a single
object, and that no man ever can,
Nature here in sight of the sea taking advantage of me to dart upon me and sting me,
Because I have dared to open my mouth to sing at all.”
—Walt Whitman (1819–1892)
“Preschoolers sound much brighter and more knowledgeable than they really are, which is why so many parents and grandparents are so sure their progeny are gifted and super-bright. Because children’s questions sound so mature and sophisticated, we are tempted to answer them at a level of abstraction far beyond the child’s level of comprehension. That is a temptation we should resist.”
—David Elkind (20th century)