Abelian group problem

  Let H be a subgroup of a group Gand let a,b∈G. Prove that aH=bH if and only if a^−1b ∈ H.
The post Abelian group problem first appeared on COMPLIANT PAPERS.

 

Let H be a subgroup of a group Gand let a,b∈G. Prove that aH=bH if and only if a^−1b ∈ H.

The post Abelian group problem first appeared on COMPLIANT PAPERS.