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- Complete_group abstract "In mathematics, a group G is said to be complete if every automorphism of G is inner, and it is centerless; that is, it has a trivial outer automorphism group and trivial center.Equivalently, a group is complete if the conjugation map, G → Aut(G) (sending an element g to conjugation by g), is an isomorphism: injectivity implies the group is centerless, as no inner automorphisms are the identity, while surjectivity implies it has no outer automorphisms.".
- Complete_group wikiPageExternalLink 9808094v1.
- Complete_group wikiPageID "876770".
- Complete_group wikiPageLength "4025".
- Complete_group wikiPageOutDegree "26".
- Complete_group wikiPageRevisionID "678735768".
- Complete_group wikiPageWikiLink Almost_simple_group.
- Complete_group wikiPageWikiLink Automorphism.
- Complete_group wikiPageWikiLink Automorphism_group.
- Complete_group wikiPageWikiLink Automorphisms_of_the_symmetric_and_alternating_groups.
- Complete_group wikiPageWikiLink Category:Properties_of_groups.
- Complete_group wikiPageWikiLink Center_(group_theory).
- Complete_group wikiPageWikiLink Centralizer.
- Complete_group wikiPageWikiLink Centralizer_and_normalizer.
- Complete_group wikiPageWikiLink Conjugacy_class.
- Complete_group wikiPageWikiLink Conjugation_(group_theory).
- Complete_group wikiPageWikiLink Dihedral_group.
- Complete_group wikiPageWikiLink Direct_product_of_groups.
- Complete_group wikiPageWikiLink Exact_sequence.
- Complete_group wikiPageWikiLink Group_(mathematics).
- Complete_group wikiPageWikiLink Group_homomorphism.
- Complete_group wikiPageWikiLink Inner_automorphism.
- Complete_group wikiPageWikiLink Isomorphic.
- Complete_group wikiPageWikiLink Isomorphism.
- Complete_group wikiPageWikiLink Joel_David_Hamkins.
- Complete_group wikiPageWikiLink Kernel_(algebra).
- Complete_group wikiPageWikiLink Kernel_(group_theory).
- Complete_group wikiPageWikiLink Mathematics.
- Complete_group wikiPageWikiLink Outer_automorphism_group.
- Complete_group wikiPageWikiLink Semidirect_product.
- Complete_group wikiPageWikiLink Short_exact_sequence.
- Complete_group wikiPageWikiLink Simple_group.
- Complete_group wikiPageWikiLink Springer-Verlag.
- Complete_group wikiPageWikiLink Springer_Science+Business_Media.
- Complete_group wikiPageWikiLink Surjective.
- Complete_group wikiPageWikiLink Surjective_function.
- Complete_group wikiPageWikiLink Symmetric_group.
- Complete_group wikiPageWikiLinkText "Complete group".
- Complete_group wikiPageWikiLinkText "complete group".
- Complete_group wikiPageWikiLinkText "complete".
- Complete_group hasPhotoCollection Complete_group.
- Complete_group wikiPageUsesTemplate Template:Citation.
- Complete_group wikiPageUsesTemplate Template:Harv.
- Complete_group subject Category:Properties_of_groups.
- Complete_group hypernym Isomorphism.
- Complete_group type Property.
- Complete_group comment "In mathematics, a group G is said to be complete if every automorphism of G is inner, and it is centerless; that is, it has a trivial outer automorphism group and trivial center.Equivalently, a group is complete if the conjugation map, G → Aut(G) (sending an element g to conjugation by g), is an isomorphism: injectivity implies the group is centerless, as no inner automorphisms are the identity, while surjectivity implies it has no outer automorphisms.".
- Complete_group label "Complete group".
- Complete_group sameAs Groupe_complet.
- Complete_group sameAs חבורה_שלמה.
- Complete_group sameAs Grupa_pełna.
- Complete_group sameAs m.03kx9c.
- Complete_group sameAs Q968707.
- Complete_group sameAs Q968707.
- Complete_group sameAs 完備群.
- Complete_group wasDerivedFrom Complete_group?oldid=678735768.
- Complete_group isPrimaryTopicOf Complete_group.