In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that Equivalently, every element of G has a unique expression as a product hk where h ∈ H and k ∈ K. This relation is symmetrical: if K is a complement of H, then H is a complement of K. Neither H nor K need be a normal subgroup of G.
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| - Complement (group theory) (en)
- Complément d'un sous-groupe (fr)
- Complemento (teoria dei gruppi) (it)
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| - In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that Equivalently, every element of G has a unique expression as a product hk where h ∈ H and k ∈ K. This relation is symmetrical: if K is a complement of H, then H is a complement of K. Neither H nor K need be a normal subgroup of G. (en)
- En mathématiques, et plus particulièrement en théorie des groupes, on dit qu'un complément d'un sous-groupe H dans un groupe G est un autre sous-groupe K de G tel que les deux conditions suivantes sont satisfaites : ; (où 1 désigne le sous-groupe de G réduit à l'élément neutre). (fr)
- In algebra, e in particolare in teoria dei gruppi, un complemento di un sottogruppo di un gruppo è un sottogruppo di tale che
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* Questo equivale a dire che ogni elemento di ha un'espressione unica come prodotto dove e . Né né devono necessariamente essere sottogruppi normali di . (it)
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| - In mathematics, especially in the area of algebra known as group theory, a complement of a subgroup H in a group G is a subgroup K of G such that Equivalently, every element of G has a unique expression as a product hk where h ∈ H and k ∈ K. This relation is symmetrical: if K is a complement of H, then H is a complement of K. Neither H nor K need be a normal subgroup of G. (en)
- En mathématiques, et plus particulièrement en théorie des groupes, on dit qu'un complément d'un sous-groupe H dans un groupe G est un autre sous-groupe K de G tel que les deux conditions suivantes sont satisfaites : ; (où 1 désigne le sous-groupe de G réduit à l'élément neutre). (fr)
- In algebra, e in particolare in teoria dei gruppi, un complemento di un sottogruppo di un gruppo è un sottogruppo di tale che
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* Questo equivale a dire che ogni elemento di ha un'espressione unica come prodotto dove e . Né né devono necessariamente essere sottogruppi normali di . (it)
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