Normal-isomorph-free subgroup: Difference between revisions

From Groupprops
(New page: {{wikilocal}} {{subgroup property}} ==Definition== A subgroup of a group is termed '''normal-isomorph-free''' if it is a normal subgroup, and there is no other normal subgrou...)
 
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* [[Stronger than::Characteristic-isomorph-free subgroup]]
* [[Stronger than::Characteristic-isomorph-free subgroup]]
* [[Stronger than::Characteristic subgroup]]
* [[Stronger than::Characteristic subgroup]]
* [[Stronger than::Series-isomorph-free subgroup]]

Revision as of 00:59, 5 October 2008

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

A subgroup of a group is termed normal-isomorph-free if it is a normal subgroup, and there is no other normal subgroup of the whole group isomorphic to it.

Relation with other properties

Stronger properties

Weaker properties