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Order (group theory)
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Mathematics
Fields of mathematics
Algebra
Abstract algebra
Algebraic properties of elements
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1970-01-01
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In the
context
of
group theory
, the term "order" can refer to two related but distinct
concepts
:
1
. **Order of
a
Group**
: The order of
a
group
\(
G \)
, denoted
as
\( |
G| \)
, is defined
as
the
number
of elements in the
group
. For
finite groups
, this is simply
a
count of all the elements.
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Algebraic properties of elements
Abstract algebra
Algebra
Fields of mathematics
Mathematics
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