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Finally using class field theory and [2], we determine the ramification groups of G p ( K ) (we distinguish the case when K is unramified from the case when K is totally ramified,
To complete the “concrete” proof of the “al- gebraic implies automatic” direction of Theorem 4.1.3, we must explain why the field of p-quasi-automatic series is closed
This follows by (5.3.ii) from what we have just said.. In the last column, we list the upper.. vanishing modulo a prime) of sums of roots of unity has been studied extensively...
This is done by studying the corresponding twisted Galois actions on the function field of the curve, for which a description in terms of modular units is given... Note that
conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified out- side a set of four degree-one places.. In order
point is that if two of the numbers of the form (2.18) coincide modulo p, then, after cancelling the factor of 2 − k , we get two residue classes of.. integers which coincide
Here, we consider (for the rst time) the P-matrix completion problem under the assumptions that the partial matrix is square, all diagonal entries are specied, and the data
Applying Lemma 4.1 to each fully indecomposable component of (4.1) shows there exists a permanent maximizer whose fully indecomposable compo- nents are striped... Let nnzr Ai denote
