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Permutation cycle
...
Mathematics
Area of mathematics
Algebra
Group theory
Finite group theory
Symmetric group
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Words: 63
Articles: 2
A permutation cycle
(
a
1
a
2
…
a
k
)
sends
a
i
to
a
i
+
1
, sends
a
k
to
a
1
, and fixes every other element. Its
order
is
k
.
Table of contents
63
2
Three-cycle
Permutation cycle
23
Disjoint permutation cycles
Permutation cycle
16
Ancestors
(7)
Symmetric group
Finite group theory
Group theory
Algebra
Area of mathematics
Mathematics
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(2)
Solution
Three-cycle