Mathias Lederer on Tue, 29 Aug 2000 12:24:14 +0200 |
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polgalois |
The output of the command "polgalois(x)" is a three-component-vector [n, s, k], where k is the number of the group corresponding to a given pair (n, s). In the user's guide there is a list that explains the meaning of k for all polynomials up to degree 7. In this case k=1 except in 2 cases. But when polgalois(x) is applied to a polynomial e.g. of degree 11, k can be a much higher number. My question is: Where can I find a list which tells me the meaning of k in the general case? In GTM 138 it says that the number of k refers to standard literature. So which literature is standard? And second, can't I get any direct information about the action of the Galois group on the zeros of the polynomial out of the command "polgalois"? Mathias Lederer