Non-empty subsets of group

Reference no: EM13123903

Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.

Let H be finite. Prove that H is a subgroup if and only if H^2=H.

Reference no: EM13123903

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