Group in which class equals maximum subnormal depth

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Revision as of 11:38, 3 September 2008 by Vipul (talk | contribs) (New page: {{group property}} ==Definition== A '''group in which class equals maximum subnormal depth''' is a defining ingredient::nilpotent group for which there exists a [[defining ingredient...)
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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
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

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.

Relation with other properties

Stronger properties

Weaker properties