1. Mathematics
2. Discrete Math
3. Finite Element Method
4. 23146

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2 < |G|. Prove that there is a non-identity element x in G s.t. x commutes with both a and b.