Group with at most n pairwise commuting elements of order dividing n

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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

Definition

A group with at most n pairwise commuting elements of order dividing n is a group with the property that for every natural number n, any subset S of G satisfying the property that g^n is the identity for all g \in S, and gh = hg for all g,h \in S, has size at most n.

Relation with other properties

Stronger properties

Weaker properties