MathDB
Miklos Schweitzer 1967_2

Source:

October 6, 2008
superior algebrasuperior algebra unsolved

Problem Statement

Let K K be a subset of a group G G that is not a union of lift cosets of a proper subgroup. Prove that if G G is a torsion group or if K K is a finite set, then the subset kKk1K \bigcap _{k \in K} k^{-1}K consists of the identity alone. L. Redei