A representation of the cyclic group of order 5

You will either need the function C5 or Cn from above

> C5:=Cn(5);

> permrep5(group):=C5;
permrep5(hom):=g->evalm([[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]^(5+g));

> permrep5(hom)(1);

> ismatrep(permrep5);

Exercise: Try to find a matrix T such that T &* permrep5(j) &* T^(-1) is 

diagonal for all 1 \leq j < 5

What does this say about the the matrix representation?

Hint: try eigenvectors or the other built in Maple functions

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