In the early 1930s, the renowned Hungarian mathematician Paul Erdős set forth a puzzle. Erdős offered $500 to anyone who could crack it. Called the Erdős discrepancy problem, a puzzle that surmised ...

While these properties may a priori seem different, in fact they turn out to be equivalent. The nontrivial implication amounts to saying that there does not exist a non-abelian group with a "norm". We ...