Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Transitively_normal_subgroup> ?p ?o. }
Showing items 1 to 18 of
18
with 100 items per page.
- Transitively_normal_subgroup abstract "In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group. In symbols, is a transitively normal subgroup of if for every normal in , we have that is normal in .An alternate way to characterize these subgroups is: every normal subgroup preserving automorphism of the whole group must restrict to a normal subgroup preserving automorphism of the subgroup.Here are some facts about transitively normal subgroups:Every normal subgroup of a transitively normal subgroup is normal.Every direct factor, or more generally, every central factor is transitively normal. Thus, every central subgroup is transitively normal.A transitively normal subgroup of a transitively normal subgroup is transitively normal.A transitively normal subgroup is normal.Also see: Normal subgroup".
- Transitively_normal_subgroup wikiPageID "4938714".
- Transitively_normal_subgroup wikiPageRevisionID "332216248".
- Transitively_normal_subgroup hasPhotoCollection Transitively_normal_subgroup.
- Transitively_normal_subgroup subject Category:Subgroup_properties.
- Transitively_normal_subgroup type Abstraction100002137.
- Transitively_normal_subgroup type Possession100032613.
- Transitively_normal_subgroup type Property113244109.
- Transitively_normal_subgroup type Relation100031921.
- Transitively_normal_subgroup type SubgroupProperties.
- Transitively_normal_subgroup comment "In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group.".
- Transitively_normal_subgroup label "Transitively normal subgroup".
- Transitively_normal_subgroup sameAs m.0cw3fc.
- Transitively_normal_subgroup sameAs Q7834485.
- Transitively_normal_subgroup sameAs Q7834485.
- Transitively_normal_subgroup sameAs Transitively_normal_subgroup.
- Transitively_normal_subgroup wasDerivedFrom Transitively_normal_subgroup?oldid=332216248.
- Transitively_normal_subgroup isPrimaryTopicOf Transitively_normal_subgroup.