Monochromatic permutation quadruples - A schur thing in S n
Schur proved that for any finite partition of the naturals, some cell contains two numbers and their sum. We use Ramsey's theorem to prove a noncommutative Schur theorem for permutation quadruples fx; y; x y; yxg. © THE MATHEMATICAL ASSOCIATION OF AMERICA.
American Mathematical Monthly
McCutcheon, R. (2012). Monochromatic permutation quadruples - A schur thing in S n. American Mathematical Monthly, 119 (4), 342-343. https://doi.org/10.4169/amer.math.monthly.119.04.342