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7.5.24.0. SymGroup
Procedure from libraryqmatrix.lib (see qmatrix_lib).
- Usage:
- SymGroup(n); n an integer (positive)
- Return:
- intmat
- Purpose:
- represent the symmetric group S(n) via integer vectors (permutations)
- Note:
- each row of the output integer matrix is an element of S(n)
LIB "qmatrix.lib";
// "S(3)={(1,2,3),(1,3,2),(3,1,2),(2,1,3),(2,3,1),(3,2,1)}";
SymGroup(3);
==> 1,2,3,
==> 1,3,2,
==> 3,1,2,
==> 2,1,3,
==> 2,3,1,
==> 3,2,1
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