MyWikiBiz, Author Your Legacy — Tuesday April 15, 2025
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741 bytes added
, 18:08, 11 June 2009
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<pre>
<pre>
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Permutations or Substitutions in Sym_{A, B, C}
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Permutation Substitutions in Sym {A, B, C}
o---------o---------o---------o---------o---------o---------o
o---------o---------o---------o---------o---------o---------o
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| A B C | C A B | B C A | A C B | C B A | B A C |
| A B C | C A B | B C A | A C B | C B A | B A C |
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| | | | | | |
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o---------o---------o---------o---------o---------o---------o
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</pre>
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<pre>
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Matrix Representations of Permutations in Sym(3)
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o---------o---------o---------o---------o---------o---------o
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| | | | | | |
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| e | f | g | h | i | j |
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o=========o=========o=========o=========o=========o=========o
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| 1 0 0 | 0 0 1 | 0 1 0 | 1 0 0 | 0 0 1 | 0 1 0 |
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| 0 1 0 | 1 0 0 | 0 0 1 | 0 0 1 | 0 1 0 | 1 0 0 |
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| 0 0 1 | 0 1 0 | 1 0 0 | 0 1 0 | 1 0 0 | 0 0 1 |
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| | | | | | |
o---------o---------o---------o---------o---------o---------o
o---------o---------o---------o---------o---------o---------o