# Group in which class equals maximum subnormal depth

From Groupprops

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...)

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 propertiesVIEW 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.