# Finite group

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Prove that if G is a finite group of prime power order p^a, then the center Z(G) can not be the identity subgroup.

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:28 pm ad1c9bdddfhttps://brainmass.com/physics/orbits/finite-group-26939

#### Solution Summary

This is a proof regarding prime groups and identity groups.

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