Difference between revisions of "Class two normal subgroup"

From Groupprops
Jump to: navigation, search
(Relation with other properties)
Line 14: Line 14:
 
* [[Weaker than::Class two characteristic subgroup]]
 
* [[Weaker than::Class two characteristic subgroup]]
 
* [[Weaker than::Commutator-in-center subgroup]]
 
* [[Weaker than::Commutator-in-center subgroup]]
 +
* [[Weaker than::Aut-abelian normal subgroup]]
  
 
===Weaker properties===
 
===Weaker properties===
  
 
* [[Stronger than::Nilpotent normal subgroup]]
 
* [[Stronger than::Nilpotent normal subgroup]]

Revision as of 14:51, 2 September 2009

This article describes a property that arises as the conjunction of a subgroup property: normal subgroup with a group property (itself viewed as a subgroup property): group of nilpotence class two
View a complete list of such conjunctions

Definition

A subgroup of a group is termed a class two normal subgroup if it is a normal subgroup and is also nilpotent, with nilpotence class at most two.

Relation with other properties

Stronger properties

Weaker properties