Vivek Shende wrote:

Does the function PermutationMat have an inverse? that is, if i have a matrix that is the matrix of a permutation, is there some function that will give me that permutation?

There is no function built into GAP, but using the code of
`IsMonomialMatrix' (in lib/matrix.gi) it ought to be very easy to write code
for such a test.

Best wishes,

Alexander Hulpke

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