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- CEP_subgroup abstract "In mathematics, in the field of group theory, a subgroup of a group is said to have the Congruence Extension Property or to be a CEP subgroup if every congruence on the subgroup lifts to a congruence of the whole group. Equivalently, every normal subgroup of the subgroup arises as the intersection with the subgroup of a normal subgroup of the whole group.In symbols, a subgroup is normal in a group if every normal subgroup of can be realized as where is normal in .The following facts are known about CEP subgroups: Every retract has the CEP. Every transitively normal subgroup has the CEP.".
- CEP_subgroup wikiPageID "4967042".
- CEP_subgroup wikiPageRevisionID "468915298".
- CEP_subgroup hasPhotoCollection CEP_subgroup.
- CEP_subgroup subject Category:Group_theory.
- CEP_subgroup subject Category:Subgroup_properties.
- CEP_subgroup type Abstraction100002137.
- CEP_subgroup type Possession100032613.
- CEP_subgroup type Property113244109.
- CEP_subgroup type Relation100031921.
- CEP_subgroup type SubgroupProperties.
- CEP_subgroup comment "In mathematics, in the field of group theory, a subgroup of a group is said to have the Congruence Extension Property or to be a CEP subgroup if every congruence on the subgroup lifts to a congruence of the whole group.".
- CEP_subgroup label "CEP subgroup".
- CEP_subgroup sameAs m.0cxl0q.
- CEP_subgroup sameAs Q5010334.
- CEP_subgroup sameAs Q5010334.
- CEP_subgroup sameAs CEP_subgroup.
- CEP_subgroup wasDerivedFrom CEP_subgroup?oldid=468915298.
- CEP_subgroup isPrimaryTopicOf CEP_subgroup.