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
For an infinite group , let denote the number of subgroups of index at most in . Then, is said to be a PSG-group, or is said to have Polynomial Subgroup Growth if is bounded from above by a polynomial function of .