Hypoabelian group

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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
This is a variation of solvability|Find other variations of solvability |

This is an opposite of perfectness

Definition

Symbol-free definition

A group is termed hypoabelian if the following equivalent conditions are satisfied:

Relation with other properties

Stronger properties

Weaker properties