Group with at most n nth roots for any element

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions


A group with at most n nth roots for any element is a group G satisfying the following condition: for any g \in G, the number of solutions to x^n = g is at most n.

Relation with other properties

Stronger properties

Weaker properties