Problem

Let H be a subgroup of a group G. Prove that if the partition of G into left cosets of H i...

Let H be a subgroup of a group G. Prove that if the partition of G into left cosets of H is the same as the partition into right cosets of H, then g-1hg ∈ H for all g ∈ G and all h ∈ H. (Note that this is the converse of Exercise 28.)

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