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On the Stickelberger Ideal and the Relative Class Number

On the Stickelberger Ideal and the Relative Class Number

Let k be any imaginary abelian field, R the integral group ring of G == Gal(k/Q), and S the Stickelberger ideal of k.Roughly speaking, the relative class number h -of k is expressed as the index of S in a certain ideal A of R described by means of G …