We determine right nilpotency of braces of cardinality p 4 . If a brace of cardinality p 4 has an abelian multiplicative group, then it is left and right nilpotent, so we only consider braces with non-abelian multiplicative groups. We show right nilpotency in all cases using the sufficient condition of A * c = 0 for some central element c of a brace A.
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