OEF Permutation --- Introduction ---

This module actually contains 42 exercises on permutation: rewriting, cycles, transpositions, image, order, parity, anagram. These exercises are based on the software GAP.

Anagram with cycles

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

Anagram with 2

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

Inverse anagram with cycles

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

Inverse anagram with 2

Determine the anagram of the word
obtained using the permutation
Determine the word whose anagram by the permutation
is

Order with cycles

Let be the permutation
What is the order of ?

Order with 2

Let be the permutation
What is the order of ?

Order and parity with cycles

Let be the permutation
What is the order of ? What is the parity of ?

Order and parity with 2

Let be the permutation
What is the order of ? What is the parity of ?

Parity with cycles

Let be the permutation
What is the parity of ?

Parity with 2

Let be the permutation
What is the parity of ?

Image 3 with cycles

Let be the permutation
Give the of the subset {}.

Image 4 with cycles

Let be the permutation
Give the of the subset {}.

Image 5 with cycles

Let be the permutation
Give the of the subset {}.

Image 3 with 2

Let be the permutation
Give the of the subset {}.

Image 4 with 2

Let be the permutation
Give the of the subset {}.

Image 5 with 2

Let be the permutation
Give the of the subset {}.

Inverse image 3 with cycles

Let be the permutation
Give the of the subset {}.

Inverse image 4 with cycles

Let be the permutation
Give the of the subset {}.

Inverse image 5 with cycles

Let be the permutation
Give the of the subset {}.

Inverse image 3 with 2

Let be the permutation
Give the of the subset {}.

Inverse image 4 with 2

Let be the permutation
Give the of the subset {}.

Inverse image 5 with 2

Let be the permutation
Give the of the subset {}.

Square cycles towards cycles

Let be the permutation (on the set {1,2,...,})
.

Inverse cycles towards cycles

Let be the permutation (on the set {1,2,...,})
.

Cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

Square cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

Inverse cycles towards 2

Let be the permutation (on the set {1,2,...,})
.

List towards cycles

Let be the permutation (on the set {1,2,...,})
.

Square 2 towards cycles

Let be the permutation (on the set {1,2,...,})
.

Inverse 2 towards cycles

Let be the permutation (on the set {1,2,...,})
.

Square 2 towards 2

Let be the permutation (on the set {1,2,...,})
.

Inverse 2 towards 2

Let be the permutation (on the set {1,2,...,})
.

Transpositions to cycles 4

Let be the permutation (on the set {1,2,...,})
.

Transpositions to cycles 5

Let be the permutation (on the set {1,2,...,})
.

Transpositions to cycles 6

Let be the permutation (on the set {1,2,...,})
.

Transpositions to cycles 7

Let be the permutation (on the set {1,2,...,})
.

Transpositions to cycles 8

Let be the permutation (on the set {1,2,...,})
.

Transpositions to 2 4

Let be the permutation (on the set {1,2,...,})
.

Transpositions to 2 5

Let be the permutation (on the set {1,2,...,})
.

Transpositions to 2 6

Let be the permutation (on the set {1,2,...,})
.

Transpositions to 2 7

Let be the permutation (on the set {1,2,...,})
.

Transpositions to 2 8

Let be the permutation (on the set {1,2,...,})
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