Cayley's theorem

Cayley's theorem

In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group acting on G. This can be understood as an example of the group action of G on the elements of G. The theorem can be obtained by explicitly constructing the representation within the representation of the symmetric group of permutation matrices, which is sometimes known as the regular representation.
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Cayley's_theorem
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Cayley's theorem

In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group acting on G. This can be understood as an example of the group action of G on the elements of G. The theorem can be obtained by explicitly constructing the representation within the representation of the symmetric group of permutation matrices, which is sometimes known as the regular representation.
http://dbpedia.org/resource/Cayley's_theorem
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Cayleys sats är en matematisk ...... äller för grupper i allmänhet.
@sv
El teorema de Cayley es un res ...... omo un grupo de permutaciones.
@es
En teoria de grups, el teorema ...... gnificativament més complicat.
@ca
En théorie des groupes, le thé ...... morphe à un sous-groupe de Sn.
@fr
Il teorema di Cayley, dal nome ...... colare gruppo di permutazioni.
@it
In de groepentheorie, een onde ...... ekent dat G en H isomorf zijn.
@nl
In group theory, Cayley's theo ...... ric group is rather difficult.
@en
Na teoria dos grupos, o teorem ...... m problema de alta dificuldade
@pt
Twierdzenie Cayleya – twierdze ...... twierdzenia jest Arthur Cayley
@pl
В теории групп теорема Кэли ут ...... произвольный элемент группы G.
@ru
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Cayleys sats är en matematisk ...... äller för grupper i allmänhet.
@sv
El teorema de Cayley es un res ...... omo un grupo de permutaciones.
@es
En teoria de grups, el teorema ...... e G, i simbolitzat per Sim(G).
@ca
En théorie des groupes, le thé ...... morphe à un sous-groupe de Sn.
@fr
Il teorema di Cayley, dal nome ...... colare gruppo di permutazioni.
@it
In de groepentheorie, een onde ...... ekent dat G en H isomorf zijn.
@nl
In group theory, Cayley's theo ...... as the regular representation.
@en
Na teoria dos grupos, o teorem ...... ico em G, escrito como Sym(G).
@pt
Twierdzenie Cayleya – twierdze ...... twierdzenia jest Arthur Cayley
@pl
В теории групп теорема Кэли ут ...... произвольный элемент группы G.
@ru
label
Cayley's theorem
@en
Cayleys sats
@sv
O Teorema de Cayley
@pt
Satz von Cayley
@de
Stelling van Cayley
@nl
Teorema de Cayley
@ca
Teorema de Cayley
@es
Teorema di Cayley
@it
Théorème de Cayley
@fr
Twierdzenie Cayleya
@pl
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