# Schur multiplier of cyclic group is trivial

From Groupprops

This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., cyclic group) must also satisfy the second group property (i.e., Schur-trivial group)

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## Statement

Any cyclic group is a Schur-trivial group: its Schur multiplier is the trivial group.