Let G be a nontrivial nilpotent group. Prove that G has nontrivial center.

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Let G be a nontrivial nilpotent group. Prove that Ghas nontrivial center.

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a group G is called nilpotent if it admits a normal series e G0 G1 G2 Gr G in which Gi G and Gi1Gi ZGGi for all i A minimal normal subgroup is a nontrivial normal subgroup that contains no    See Answer
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