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Mathematics
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Group Theory
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Cayley's theorem
Cayley's theorem
Every group is isomorphic to a subgroup of a symmetric group.
📜
The statement of the theorem
Every group
G
G
G
is isomorphic to a subgroup of the symmetric group acting on
G
G
G
,
Sym
(
G
)
\text{Sym}(G)
Sym
(
G
)
.
Source: Wikipedia