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- Center_(group_theory) abstract "In abstract algebra, the center of a group G, denoted Z(G), is the set of elements that commute with every element of G. In set-builder notation,.The center is a subgroup of G, which by definition is abelian (that is commutative). As a subgroup, it is always normal, and indeed characteristic, but it need not be fully characteristic. The quotient group G / Z(G) is isomorphic to the group of inner automorphisms of G.A group G is abelian if and only if Z(G) = G. At the other extreme, a group is said to be centerless if Z(G) is trivial, i.e. consists only of the identity element.The elements of the center are sometimes called central.".
- Center_(group_theory) thumbnail Center_of_Dihedral_group_of_order_8_subgroup_of_S4.svg?width=300.
- Center_(group_theory) wikiPageID "7125".
- Center_(group_theory) wikiPageRevisionID "581851612".
- Center_(group_theory) hasPhotoCollection Center_(group_theory).
- Center_(group_theory) id "p/c021250".
- Center_(group_theory) title "Centre of a group".
- Center_(group_theory) subject Category:Functional_subgroups.
- Center_(group_theory) subject Category:Group_theory.
- Center_(group_theory) type Abstraction100002137.
- Center_(group_theory) type FunctionalSubgroups.
- Center_(group_theory) type Group100031264.
- Center_(group_theory) type Subgroup108001083.
- Center_(group_theory) comment "In abstract algebra, the center of a group G, denoted Z(G), is the set of elements that commute with every element of G. In set-builder notation,.The center is a subgroup of G, which by definition is abelian (that is commutative). As a subgroup, it is always normal, and indeed characteristic, but it need not be fully characteristic. The quotient group G / Z(G) is isomorphic to the group of inner automorphisms of G.A group G is abelian if and only if Z(G) = G.".
- Center_(group_theory) label "Center (group theory)".
- Center_(group_theory) label "Centre d'un groupe".
- Center_(group_theory) label "Centro de um grupo".
- Center_(group_theory) label "Centro de un grupo".
- Center_(group_theory) label "Centro di un gruppo".
- Center_(group_theory) label "Centrum (groepentheorie)".
- Center_(group_theory) label "Центр группы".
- Center_(group_theory) label "中心 (群论)".
- Center_(group_theory) label "群の中心".
- Center_(group_theory) sameAs Centrum_grupy.
- Center_(group_theory) sameAs Centro_de_un_grupo.
- Center_(group_theory) sameAs Centre_d'un_groupe.
- Center_(group_theory) sameAs Centro_di_un_gruppo.
- Center_(group_theory) sameAs 群の中心.
- Center_(group_theory) sameAs 군의_중심.
- Center_(group_theory) sameAs Centrum_(groepentheorie).
- Center_(group_theory) sameAs Centro_de_um_grupo.
- Center_(group_theory) sameAs m.02106.
- Center_(group_theory) sameAs Q1195852.
- Center_(group_theory) sameAs Q1195852.
- Center_(group_theory) sameAs Center_(group_theory).
- Center_(group_theory) wasDerivedFrom Center_(group_theory)?oldid=581851612.
- Center_(group_theory) depiction Center_of_Dihedral_group_of_order_8_subgroup_of_S4.svg.
- Center_(group_theory) isPrimaryTopicOf Center_(group_theory).