Potentially characteristic subgroup: Difference between revisions

Revision as of 13:33, 22 September 2009

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NPC theorem: A normal subgroup $H$ of a group $G$ is potentially characteristic: there exists a group $K$ containing $G$ such that $H$ is a characteristic subgroup of $K$ .
group property-conditionally potentially characteristic subgroup: This is the notion of being potentially characteristic with respect to a group property.
potentially characteristic subgroups characterization problem

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 * [[NPC theorem]]: A [[normal subgroup]] <math>H</math> of a [[group]] <math>G</math> is potentially characteristic: there exists a group <math>K</math> containing <math>G</math> such that <math>H</math> is a [[characteristic subgroup]] of <math>K</math>.
-* [[Group property-conditionally potentially characteristic subgroup]]: This is the notion of being potentially characteristic with respect to a group property.
+* [[group property-conditionally potentially characteristic subgroup]]: This is the notion of being potentially characteristic with respect to a group property.
-* [[potentially characteristic subgroups characterization theorem]]
+* [[potentially characteristic subgroups characterization problem]]