Difference between revisions of "Class two normal subgroup"

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(New page: {{group-subgroup property conjunction|normal subgroup|group of nilpotence class two}} ==Definition== A subgroup of a group is termed a '''class two normal subgroup''' if it is a ...)
 
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* [[Weaker than::Critical subgroup]]
 
* [[Weaker than::Critical subgroup]]
 
* [[Weaker than::Class two characteristic subgroup]]
 
* [[Weaker than::Class two characteristic subgroup]]
 +
* [[Weaker than::Commutator-in-center subgroup]]
  
 
===Weaker properties===
 
===Weaker properties===
  
 
* [[Stronger than::Nilpotent normal subgroup]]
 
* [[Stronger than::Nilpotent normal subgroup]]

Revision as of 21:27, 16 September 2008

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