After hours of debugging some program code, I found out that right 
multiplication of a row subspace of K^n by an element x from GL(n,K) does 
*not* do what I expected!

sage: V = GF(2)^2
sage: v = V((1,0))
sage: x = GL(2,2)(matrix([[1,1],[0,1]]))
sage: V.subspace([v*x]) == V.subspace([v])*x
False

It seems that right multiplication by x actually multiplies by the 
*transpose* of x? Is there any reason for that? That is even worse than the 
completely silly and error prone notation for permutation groups, where a 
*right action* is written from the left, so g(h(x)) isn't (g*h)(x).

-- Peter Mueller


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