MathDB
Putnam 1968 B2

Source: Putnam 1968

February 19, 2022
Putnamgroup theory

Problem Statement

Let GG be a finite group with nn elements and KK a subset of GG with more than n2\frac{n}{2} elements. Show that for any gGg\in G one can find h,kKh,k\in K such that g=hkg=h\cdot k.