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Mathematics
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Group Theory
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Lagrange's Theorem
Lagrange's Theorem
A fundamental theorem in group theory.
📜
The statement of the theorem
If
G
G
G
is a finite group and
H
H
H
is a subgroup of
G
G
G
, then the order (number of elements) of
H
H
H
divides the order of
G
G
G
.\n
∣
H
∣
divides
∣
G
∣
|H| \text{ divides } |G|
∣
H
∣
divides
∣
G
∣
Source: Wikipedia