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