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Concept
Order Of A Permutation
The
order of a permutation
is the
smallest positive integer
such that
raising the permutation
to that power results in the
identity permutation
, effectively describing the
cycle structure
's
repeat period
. Understanding the order is crucial for
analyzing the permutation's behavior
in
group theory
and its
applications in algebraic structures
.
Relevant Degrees
Combinatorial Analysis and Graph Theory 100%
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