Frobenius conjecture on nth roots

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This article is about a conjecture in the following area in/related to group theory: finite groups. View all conjectures and open problems

Statement

Suppose is a finite group and is a natural number dividing the order of . Suppose the number of roots in , i.e., the number of elements such that , is exactly .

The Frobenius conjecture on nth roots states that in that case, that set of roots must be a subgroup of .

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