Matches in DBpedia 2014 for { <http://dbpedia.org/resource/C-closed_subgroup> ?p ?o. }
Showing items 1 to 14 of
14
with 100 items per page.
- C-closed_subgroup abstract "In mathematics, in the field of group theory a subgroup of a group is said to be c-closed if any two elements of the subgroup that are conjugate in the group are also conjugate in the subgroup.An alternative characterization of c-closed normal subgroups is that all class automorphisms of the whole group restrict to class automorphisms of the subgroup.The following facts are true regarding c-closed subgroups: Every central factor (a subgroup that may occur as a factor in some central product) is a c-closed subgroup. Every c-closed normal subgroup is a transitively normal subgroup. The property of being c-closed is transitive, that is, every c-closed subgroup of a c-closed subgroup is c-closed.The property of being c-closed is sometimes also termed as being conjugacy stable. It is a known result that for finite field extensions, the general linear group of the base field is a c-closed subgroup of the general linear group over the extension field. This result is typically referred to as a stability theorem.A subgroup is said to be strongly c-closed if all intermediate subgroups are also c-closed.".
- C-closed_subgroup wikiPageExternalLink C-closed_subgroup.
- C-closed_subgroup wikiPageExternalLink Central_factor.
- C-closed_subgroup wikiPageID "4978117".
- C-closed_subgroup wikiPageRevisionID "606336639".
- C-closed_subgroup subject Category:Group_theory.
- C-closed_subgroup subject Category:Subgroup_properties.
- C-closed_subgroup comment "In mathematics, in the field of group theory a subgroup of a group is said to be c-closed if any two elements of the subgroup that are conjugate in the group are also conjugate in the subgroup.An alternative characterization of c-closed normal subgroups is that all class automorphisms of the whole group restrict to class automorphisms of the subgroup.The following facts are true regarding c-closed subgroups: Every central factor (a subgroup that may occur as a factor in some central product) is a c-closed subgroup. ".
- C-closed_subgroup label "C-closed subgroup".
- C-closed_subgroup sameAs m.0cy3xy.
- C-closed_subgroup sameAs Q5015126.
- C-closed_subgroup sameAs Q5015126.
- C-closed_subgroup wasDerivedFrom C-closed_subgroup?oldid=606336639.
- C-closed_subgroup isPrimaryTopicOf C-closed_subgroup.