Advanced Search

Question: how to convert GeneralLinearGroup and GeneralOrthogonalGroup to permutation group?

Question:how to convert GeneralLinearGroup and GeneralOrthogonalGroup to permutation group?

ComputerUser 535 Maple
group-theory
June 25 2016
0

how to convert GeneralLinearGroup and GeneralOrthogonalGroup to permutation group for small parameters 

 

GL23 := GeneralLinearGroup(2, 3);

Generators(GL23);

i use generators , is it correct to find permutation group?

but there is a comma,

[((1, 2)(3, 5))(4, 7), (1, 3, 6)(2, 4, 8)]

does it mean that it has two different solutions?

if not, it is only one solution, 

does it mean that permutation matrix is 

permutationmatrix of  ((1, 2)(3, 5))(4, 7) + (matrix plus) permutation matrix of  (1, 3, 6)(2, 4, 8) ?
Please Wait...