Hypocentral 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 nilpotence|Find other variations of nilpotence | Read a survey article on varying nilpotence


A group is said to be hypocentral if its lower central series terminates at the identity, or equivalently, if its hypocenter is the trivial group.

Relation with other properties

Stronger properties

Weaker properties