Class two normal subgroup

From Groupprops
Revision as of 21:27, 16 September 2008 by Vipul (talk | contribs)
Jump to: navigation, search
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