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- Subgroup abstract "In mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a subgroup of G if the restriction of ∗ to H × H is a group operation on H. This is usually represented notationally by H ≤ G, read as "H is a subgroup of G".A proper subgroup of a group G is a subgroup H which is a proper subset of G (i.e. H ≠ G). The trivial subgroup of any group is the subgroup {e} consisting of just the identity element. If H is a subgroup of G, then G is sometimes called an overgroup of H.The same definitions apply more generally when G is an arbitrary semigroup, but this article will only deal with subgroups of groups. The group G is sometimes denoted by the ordered pair (G, ∗), usually to emphasize the operation ∗ when G carries multiple algebraic or other structures.This article will write ab for a ∗ b, as is usual.".
- Subgroup thumbnail Left_cosets_of_Z_2_in_Z_8.svg?width=300.
- Subgroup wikiPageID "28011".
- Subgroup wikiPageRevisionID "589029084".
- Subgroup hasPhotoCollection Subgroup.
- Subgroup subject Category:Group_theory.
- Subgroup subject Category:Subgroup_properties.
- Subgroup comment "In mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a subgroup of G if the restriction of ∗ to H × H is a group operation on H. This is usually represented notationally by H ≤ G, read as "H is a subgroup of G".A proper subgroup of a group G is a subgroup H which is a proper subset of G (i.e. H ≠ G).".
- Subgroup label "Ondergroep (wiskunde)".
- Subgroup label "Podgrupa".
- Subgroup label "Sottogruppo".
- Subgroup label "Sous-groupe".
- Subgroup label "Subgroup".
- Subgroup label "Subgrupo".
- Subgroup label "Subgrupo".
- Subgroup label "Untergruppe".
- Subgroup label "Подгруппа".
- Subgroup label "زمرة جزئية".
- Subgroup label "子群".
- Subgroup label "部分群".
- Subgroup sameAs Podgrupa.
- Subgroup sameAs Untergruppe.
- Subgroup sameAs Subgrupo.
- Subgroup sameAs Sous-groupe.
- Subgroup sameAs Sottogruppo.
- Subgroup sameAs 部分群.
- Subgroup sameAs 부분군.
- Subgroup sameAs Ondergroep_(wiskunde).
- Subgroup sameAs Podgrupa.
- Subgroup sameAs Subgrupo.
- Subgroup sameAs m.06z8w.
- Subgroup sameAs Q466109.
- Subgroup sameAs Q466109.
- Subgroup wasDerivedFrom Subgroup?oldid=589029084.
- Subgroup depiction Left_cosets_of_Z_2_in_Z_8.svg.
- Subgroup isPrimaryTopicOf Subgroup.
