#
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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- Description: collection of exercises on permutations. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, algebra, mathematics, discrete_mathematics,, permutation, anagramme, symmetric_group, group_theory