Group in which class equals maximum subnormal depth
From Groupprops
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
Contents
Definition
A group in which class equals maximum subnormal depth is a nilpotent group for which there exists a subnormal subgroup of subnormal depth precisely equal to the nilpotence class of the group.