.... 2. Let G be a finite group. Suppose H₁, H2, . Hk are subgroups of G that satisfy all of the following conditions: H₂G for all i ● H₁|, |H₂|, ● |H₁||H₂|· .. = 1, 2, ..., k; |Hk| are pairwise relatively prime; |Hk| = |G|. Show that G = H₁ H₂ ... Hk~ H₁ × H₂ × × Hk.

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